36928130400 has 432 divisors, whose sum is σ = 150874030944. Its totient is φ = 8324259840.

The previous prime is 36928130399. The next prime is 36928130419. The reversal of 36928130400 is 403182963.

36928130400 is a `hidden beast` number, since 36 + 92 + 8 + 130 + 400 = 666.

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 71 ways as a sum of consecutive naturals, for example, 3674182 + ... + 3684218.

It is an arithmetic number, because the mean of its divisors is an integer number (349245442).

Almost surely, 2^36928130400 is an apocalyptic number.

36928130400 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 36928130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75437015472).

36928130400 is an abundant number, since it is smaller than the sum of its proper divisors (113945900544).

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

36928130400 is a wasteful number, since it uses less digits than its factorization.

36928130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10143 (or 10127 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 36928130400 in words is "thirty-six billion, nine hundred twenty-eight million, one hundred thirty thousand, four hundred".