3738615408 has 360 divisors, whose sum is σ = 12657939840. Its totient is φ = 1024531200.

The previous prime is 3738615403. The next prime is 3738615443. The reversal of 3738615408 is 8045168373.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3738615403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7614043 + ... + 7614533.

It is an arithmetic number, because the mean of its divisors is an integer number (35160944).

Almost surely, 2^3738615408 is an apocalyptic number.

3738615408 is a gapful number since it is divisible by the number (38) 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 3738615408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6328969920).

3738615408 is an abundant number, since it is smaller than the sum of its proper divisors (8919324432).

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

3738615408 is a wasteful number, since it uses less digits than its factorization.

3738615408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 3738615408 is about 61144.2181076837. The cubic root of 3738615408 is about 1552.0424559718.

The spelling of 3738615408 in words is "three billion, seven hundred thirty-eight million, six hundred fifteen thousand, four hundred eight".