3793500480 has 896 divisors, whose sum is σ = 16456273920. Its totient is φ = 716636160.

The previous prime is 3793500457. The next prime is 3793500509. The reversal of 3793500480 is 840053973.

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, 51965724 + ... + 51965796.

Almost surely, 2^3793500480 is an apocalyptic number.

3793500480 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 3793500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8228136960).

3793500480 is an abundant number, since it is smaller than the sum of its proper divisors (12662773440).

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

3793500480 is a wasteful number, since it uses less digits than its factorization.

3793500480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 3793500480 is about 61591.3993995915. The cubic root of 3793500480 is about 1559.6005551913.

The spelling of 3793500480 in words is "three billion, seven hundred ninety-three million, five hundred thousand, four hundred eighty".