38120400 has 90 divisors (see below), whose sum is σ = 132300870. Its totient is φ = 10164480.

The previous prime is 38120399. The next prime is 38120417. The reversal of 38120400 is 402183.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 76176 + 38044224 = 276^2 + 6168^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1695 + ... + 8894.

Almost surely, 2^38120400 is an apocalyptic number.

38120400 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 38120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66150435).

38120400 is an abundant number, since it is smaller than the sum of its proper divisors (94180470).

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

38120400 is a wasteful number, since it uses less digits than its factorization.

38120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10613 (or 10599 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 38120400 is about 6174.1720092657. The cubic root of 38120400 is about 336.5522381215.

Adding to 38120400 its reverse (402183), we get a palindrome (38522583).

The spelling of 38120400 in words is "thirty-eight million, one hundred twenty thousand, four hundred".