36890942400 has 1008 divisors, whose sum is σ = 151241272320. Its totient is φ = 8734003200.

The previous prime is 36890942383. The next prime is 36890942423. The reversal of 36890942400 is 424909863.

36890942400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 226324719 + ... + 226324881.

Almost surely, 2^36890942400 is an apocalyptic number.

36890942400 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 36890942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75620636160).

36890942400 is an abundant number, since it is smaller than the sum of its proper divisors (114350329920).

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

36890942400 is a wasteful number, since it uses less digits than its factorization.

36890942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 36890942400 in words is "thirty-six billion, eight hundred ninety million, nine hundred forty-two thousand, four hundred".