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3680912928 = 2537211229223
BaseRepresentation
bin1101101101100110…
…0100011000100000
3100111112021202021110
43123121210120200
530014303203203
61405130423320
7160134146400
oct33331443040
910445252243
103680912928
111619863400
12868891b40
1346879cbb4
1426cc12800
15168245d03
hexdb664620

3680912928 has 432 divisors, whose sum is σ = 12837968640. Its totient is φ = 918973440.

The previous prime is 3680912927. The next prime is 3680912941. The reversal of 3680912928 is 8292190863.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3680912927) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16506225 + ... + 16506447.

It is an arithmetic number, because the mean of its divisors is an integer number (29717520).

Almost surely, 23680912928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3680912928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6418984320).

3680912928 is an abundant number, since it is smaller than the sum of its proper divisors (9157055712).

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

3680912928 is a wasteful number, since it uses less digits than its factorization.

3680912928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 3680912928 is about 60670.5276720089. The cubic root of 3680912928 is about 1544.0161837100.

The spelling of 3680912928 in words is "three billion, six hundred eighty million, nine hundred twelve thousand, nine hundred twenty-eight".