3841797520512 has 512 divisors, whose sum is σ = 13273622630400. Its totient is φ = 1071012741120.

The previous prime is 3841797520453. The next prime is 3841797520523. The reversal of 3841797520512 is 2150257971483.

3841797520512 is a `hidden beast` number, since 3 + 8 + 4 + 1 + 79 + 7 + 52 + 0 + 512 = 666.

It is a super-2 number, since 2×3841797520512² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1904707728 + ... + 1904709744.

It is an arithmetic number, because the mean of its divisors is an integer number (25925044200).

Almost surely, 2^{3841797520512} is an apocalyptic number.

3841797520512 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 3841797520512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6636811315200).

3841797520512 is an abundant number, since it is smaller than the sum of its proper divisors (9431825109888).

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

3841797520512 is a wasteful number, since it uses less digits than its factorization.

3841797520512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3921 (or 3903 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 3841797520512 in words is "three trillion, eight hundred forty-one billion, seven hundred ninety-seven million, five hundred twenty thousand, five hundred twelve".