3792547440 has 640 divisors, whose sum is σ = 15541862400. Its totient is φ = 839808000.

The previous prime is 3792547433. The next prime is 3792547489. The reversal of 3792547440 is 447452973.

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

It is a congruent number.

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, 13994505 + ... + 13994775.

It is an arithmetic number, because the mean of its divisors is an integer number (24284160).

Almost surely, 2^3792547440 is an apocalyptic number.

3792547440 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 3792547440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7770931200).

3792547440 is an abundant number, since it is smaller than the sum of its proper divisors (11749314960).

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

3792547440 is a wasteful number, since it uses less digits than its factorization.

3792547440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 3792547440 is about 61583.6621191043. The cubic root of 3792547440 is about 1559.4699382575.

The spelling of 3792547440 in words is "three billion, seven hundred ninety-two million, five hundred forty-seven thousand, four hundred forty".