36875030400 has 288 divisors, whose sum is σ = 141701425320. Its totient is φ = 9076838400.

The previous prime is 36875030399. The next prime is 36875030431. The reversal of 36875030400 is 403057863.

It is a happy number.

36875030400 is a `hidden beast` number, since 36 + 87 + 503 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 325155 + ... + 423645.

Almost surely, 2^36875030400 is an apocalyptic number.

36875030400 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 36875030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70850712660).

36875030400 is an abundant number, since it is smaller than the sum of its proper divisors (104826394920).

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

36875030400 is a wasteful number, since it uses less digits than its factorization.

36875030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98534 (or 98514 counting only the distinct ones).

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

The spelling of 36875030400 in words is "thirty-six billion, eight hundred seventy-five million, thirty thousand, four hundred".