3610672128 has 264 divisors, whose sum is σ = 12058827872. Its totient is φ = 1019215872.

The previous prime is 3610672111. The next prime is 3610672157. The reversal of 3610672128 is 8212760163.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3610672092 and 3610672101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6257376 + ... + 6257952.

Almost surely, 2^3610672128 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 3610672128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6029413936).

3610672128 is an abundant number, since it is smaller than the sum of its proper divisors (8448155744).

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

3610672128 is a wasteful number, since it uses less digits than its factorization.

3610672128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3610672128 is about 60088.8685864528. The cubic root of 3610672128 is about 1534.1318433631.

The spelling of 3610672128 in words is "three billion, six hundred ten million, six hundred seventy-two thousand, one hundred twenty-eight".