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3685780673280 = 2832517672571093
BaseRepresentation
bin110101101000101001101…
…001011101001100000000
3111001100122101121000220200
4311220221221131030000
5440341434323021110
611501120235205200
7530201036541426
oct65505151351400
914040571530820
103685780673280
1111a1149113792
124b63b45a6800
1320974c0c7b44
14ca56d951116
1565d202e26c0
hex35a29a5d300

3685780673280 has 864 divisors, whose sum is σ = 13770000264384. Its totient is φ = 906875633664.

The previous prime is 3685780673173. The next prime is 3685780673287. The reversal of 3685780673280 is 823760875863.

It is a happy number.

3685780673280 is a `hidden beast` number, since 36 + 8 + 578 + 0 + 6 + 7 + 3 + 28 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (3685780673287) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3372168414 + ... + 3372169506.

It is an arithmetic number, because the mean of its divisors is an integer number (15937500306).

Almost surely, 23685780673280 is an apocalyptic number.

3685780673280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3685780673280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6885000132192).

3685780673280 is an abundant number, since it is smaller than the sum of its proper divisors (10084219591104).

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

3685780673280 is a wasteful number, since it uses less digits than its factorization.

3685780673280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 3685780673280 in words is "three trillion, six hundred eighty-five billion, seven hundred eighty million, six hundred seventy-three thousand, two hundred eighty".