3792372480 has 576 divisors, whose sum is σ = 15164190720. Its totient is φ = 890486784.

The previous prime is 3792372473. The next prime is 3792372481. The reversal of 3792372480 is 842732973.

3792372480 is a `hidden beast` number, since 379 + 2 + 37 + 248 + 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 2×3792372480² = 28764178054122700800, which contains 22 as substring.

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 (3792372481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10333257 + ... + 10333623.

It is an arithmetic number, because the mean of its divisors is an integer number (26326720).

Almost surely, 2^3792372480 is an apocalyptic number.

3792372480 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 3792372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7582095360).

3792372480 is an abundant number, since it is smaller than the sum of its proper divisors (11371818240).

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

3792372480 is a wasteful number, since it uses less digits than its factorization.

3792372480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 3792372480 is about 61582.2415960965. The cubic root of 3792372480 is about 1559.4459570980.

The spelling of 3792372480 in words is "three billion, seven hundred ninety-two million, three hundred seventy-two thousand, four hundred eighty".