3153688239672 has 256 divisors, whose sum is σ = 8969545728000. Its totient is φ = 1039274997120.

The previous prime is 3153688239661. The next prime is 3153688239677. The reversal of 3153688239672 is 2769328863513.

It is a happy number.

3153688239672 is a `hidden beast` number, since 3 + 1 + 536 + 8 + 8 + 2 + 3 + 96 + 7 + 2 = 666.

It is a super-2 number, since 2×3153688239672² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3153688239677) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1493929897 + ... + 1493932007.

It is an arithmetic number, because the mean of its divisors is an integer number (35037288000).

Almost surely, 2^{3153688239672} 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 3153688239672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4484772864000).

3153688239672 is an abundant number, since it is smaller than the sum of its proper divisors (5815857488328).

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

3153688239672 is a wasteful number, since it uses less digits than its factorization.

3153688239672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3070 (or 3048 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 3153688239672 in words is "three trillion, one hundred fifty-three billion, six hundred eighty-eight million, two hundred thirty-nine thousand, six hundred seventy-two".