38274152400 has 360 divisors, whose sum is σ = 150267403104. Its totient is φ = 9278323200.

The previous prime is 38274152341. The next prime is 38274152531. The reversal of 38274152400 is 425147283.

It is a happy number.

38274152400 is a `hidden beast` number, since 38 + 2 + 74 + 152 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1051302 + ... + 1087098.

Almost surely, 2^38274152400 is an apocalyptic number.

38274152400 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 38274152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75133701552).

38274152400 is an abundant number, since it is smaller than the sum of its proper divisors (111993250704).

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

38274152400 is a wasteful number, since it uses less digits than its factorization.

38274152400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35841 (or 35818 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 38274152400 its reverse (425147283), we get a palindrome (38699299683).

The spelling of 38274152400 in words is "thirty-eight billion, two hundred seventy-four million, one hundred fifty-two thousand, four hundred".