3738132480 has 224 divisors, whose sum is σ = 12385548000. Its totient is φ = 961544192.

The previous prime is 3738132479. The next prime is 3738132481. The reversal of 3738132480 is 842318373.

It is an interprime number because it is at equal distance from previous prime (3738132479) and next prime (3738132481).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3738132481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3562996 + ... + 3564044.

It is an arithmetic number, because the mean of its divisors is an integer number (55292625).

Almost surely, 2^3738132480 is an apocalyptic number.

3738132480 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 3738132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6192774000).

3738132480 is an abundant number, since it is smaller than the sum of its proper divisors (8647415520).

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

3738132480 is a wasteful number, since it uses less digits than its factorization.

3738132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 3738132480 is about 61140.2688904784. The cubic root of 3738132480 is about 1551.9756257907.

The spelling of 3738132480 in words is "three billion, seven hundred thirty-eight million, one hundred thirty-two thousand, four hundred eighty".