38053670400 has 900 divisors, whose sum is σ = 150789479808. Its totient is φ = 9475522560.

The previous prime is 38053670381. The next prime is 38053670401. The reversal of 38053670400 is 407635083.

It is a happy number.

38053670400 is a `hidden beast` number, since 3 + 80 + 536 + 7 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

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 (38053670401) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 299635137 + ... + 299635263.

Almost surely, 2^38053670400 is an apocalyptic number.

38053670400 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 38053670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75394739904).

38053670400 is an abundant number, since it is smaller than the sum of its proper divisors (112735809408).

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

38053670400 is a wasteful number, since it uses less digits than its factorization.

38053670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 38053670400 in words is "thirty-eight billion, fifty-three million, six hundred seventy thousand, four hundred".