3157689216000 has 704 divisors, whose sum is σ = 11621027957760. Its totient is φ = 754647040000.

The previous prime is 3157689215953. The next prime is 3157689216013. The reversal of 3157689216000 is 6129867513.

It is a tau number, because it is divible by the number of its divisors (704).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 299898736 + ... + 299909264.

Almost surely, 2^{3157689216000} is an apocalyptic number.

3157689216000 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 3157689216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5810513978880).

3157689216000 is an abundant number, since it is smaller than the sum of its proper divisors (8463338741760).

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

3157689216000 is a wasteful number, since it uses less digits than its factorization.

3157689216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10649 (or 10621 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 3157689216000 in words is "three trillion, one hundred fifty-seven billion, six hundred eighty-nine million, two hundred sixteen thousand".