3792245057280 has 576 divisors, whose sum is σ = 14190821568000. Its totient is φ = 956327067648.

The previous prime is 3792245057273. The next prime is 3792245057311. The reversal of 3792245057280 is 827505422973.

3792245057280 is a `hidden beast` number, since 3 + 7 + 9 + 22 + 45 + 0 + 572 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3792245057280² (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 a congruent number.

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, 389382651 + ... + 389392389.

It is an arithmetic number, because the mean of its divisors is an integer number (24636843000).

Almost surely, 2^{3792245057280} is an apocalyptic number.

3792245057280 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 3792245057280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7095410784000).

3792245057280 is an abundant number, since it is smaller than the sum of its proper divisors (10398576510720).

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

3792245057280 is a wasteful number, since it uses less digits than its factorization.

3792245057280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10381 (or 10361 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 3792245057280 in words is "three trillion, seven hundred ninety-two billion, two hundred forty-five million, fifty-seven thousand, two hundred eighty".