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3678536040 = 2335191613393
BaseRepresentation
bin1101101101000010…
…0000000101101000
3100111100210222210120
43123100200011220
530013201123130
61405003443240
7160105016604
oct33320400550
910440728716
103678536040
11161848a633
12867b26520
1346814a05a
1426c794504
15167e26910
hexdb420168

3678536040 has 64 divisors (see below), whose sum is σ = 11616436800. Its totient is φ = 929313792.

The previous prime is 3678536011. The next prime is 3678536051. The reversal of 3678536040 is 406358763.

It is a junction number, because it is equal to n+sod(n) for n = 3678535983 and 3678536001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 804417 + ... + 808976.

It is an arithmetic number, because the mean of its divisors is an integer number (181506825).

Almost surely, 23678536040 is an apocalyptic number.

3678536040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3678536040 is an abundant number, since it is smaller than the sum of its proper divisors (7937900760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3678536040 is a wasteful number, since it uses less digits than its factorization.

3678536040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613426 (or 1613422 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 3678536040 is about 60650.9360191580. The cubic root of 3678536040 is about 1543.6837712686.

The spelling of 3678536040 in words is "three billion, six hundred seventy-eight million, five hundred thirty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 1613393 3226786 4840179 6453572 8066965 9680358 12907144 16133930 19360716 24200895 30654467 32267860 38721432 48401790 61308934 64535720 91963401 96803580 122617868 153272335 183926802 193607160 245235736 306544670 367853604 459817005 613089340 735707208 919634010 1226178680 1839268020 3678536040