3137804621952 has 1024 divisors, whose sum is σ = 11457946644480. Its totient is φ = 734552064000.

The previous prime is 3137804621899. The next prime is 3137804622067. The reversal of 3137804621952 is 2591264087313.

It is a junction number, because it is equal to n+sod(n) for n = 3137804621895 and 3137804621904.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3821929702 + ... + 3821930522.

It is an arithmetic number, because the mean of its divisors is an integer number (11189401020).

It is a 1-persistent number, because it is pandigital, but 2⋅3137804621952 = 6275609243904 is not.

Almost surely, 2^{3137804621952} is an apocalyptic number.

3137804621952 is a gapful number since it is divisible by the number (32) 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 3137804621952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5728973322240).

3137804621952 is an abundant number, since it is smaller than the sum of its proper divisors (8320142022528).

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

3137804621952 is a wasteful number, since it uses less digits than its factorization.

3137804621952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 3137804621952 in words is "three trillion, one hundred thirty-seven billion, eight hundred four million, six hundred twenty-one thousand, nine hundred fifty-two".