3792465600000 has 1920 divisors, whose sum is σ = 16301484638208. Its totient is φ = 760320000000.

The previous prime is 3792465599999. The next prime is 3792465600029. The reversal of 3792465600000 is 65642973.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11457599835 + ... + 11457600165.

Almost surely, 2^{3792465600000} is an apocalyptic number.

3792465600000 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 3792465600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8150742319104).

3792465600000 is an abundant number, since it is smaller than the sum of its proper divisors (12509019038208).

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

3792465600000 is an equidigital number, since it uses as much as digits as its factorization.

3792465600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 3792465600000 in words is "three trillion, seven hundred ninety-two billion, four hundred sixty-five million, six hundred thousand".