3792361440 has 384 divisors, whose sum is σ = 14714929152. Its totient is φ = 801884160.

The previous prime is 3792361439. The next prime is 3792361451. The reversal of 3792361440 is 441632973.

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, 2394889 + ... + 2396471.

It is an arithmetic number, because the mean of its divisors is an integer number (38320128).

Almost surely, 2^3792361440 is an apocalyptic number.

3792361440 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 3792361440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7357464576).

3792361440 is an abundant number, since it is smaller than the sum of its proper divisors (10922567712).

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

3792361440 is a wasteful number, since it uses less digits than its factorization.

3792361440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 3792361440 is about 61582.1519598008. The cubic root of 3792361440 is about 1559.4444438588. Note that the first 5 decimals are identical.

The spelling of 3792361440 in words is "three billion, seven hundred ninety-two million, three hundred sixty-one thousand, four hundred forty".