3412507237920 has 768 divisors, whose sum is σ = 13394162073600. Its totient is φ = 804304650240.

The previous prime is 3412507237897. The next prime is 3412507237921. The reversal of 3412507237920 is 297327052143.

3412507237920 is a `hidden beast` number, since 3 + 4 + 1 + 250 + 7 + 2 + 379 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3412507237921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 455665536 + ... + 455673024.

It is an arithmetic number, because the mean of its divisors is an integer number (17440315200).

Almost surely, 2^{3412507237920} is an apocalyptic number.

3412507237920 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 3412507237920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6697081036800).

3412507237920 is an abundant number, since it is smaller than the sum of its proper divisors (9981654835680).

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

3412507237920 is a wasteful number, since it uses less digits than its factorization.

3412507237920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7790 (or 7776 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 3412507237920 in words is "three trillion, four hundred twelve billion, five hundred seven million, two hundred thirty-seven thousand, nine hundred twenty".