38013465600 has 792 divisors, whose sum is σ = 151815542112. Its totient is φ = 9009561600.

The previous prime is 38013465571. The next prime is 38013465601. The reversal of 38013465600 is 656431083.

38013465600 is a `hidden beast` number, since 3 + 8 + 0 + 1 + 3 + 46 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38013465601) 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, 134323059 + ... + 134323341.

Almost surely, 2^38013465600 is an apocalyptic number.

38013465600 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 38013465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75907771056).

38013465600 is an abundant number, since it is smaller than the sum of its proper divisors (113802076512).

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

38013465600 is a wasteful number, since it uses less digits than its factorization.

38013465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 38013465600 its reverse (656431083), we get a palindrome (38669896683).

The spelling of 38013465600 in words is "thirty-eight billion, thirteen million, four hundred sixty-five thousand, six hundred".