36954040320 has 288 divisors, whose sum is σ = 132828564960. Its totient is φ = 9853747200.

The previous prime is 36954040313. The next prime is 36954040379. The reversal of 36954040320 is 2304045963.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2480895 + ... + 2495745.

It is an arithmetic number, because the mean of its divisors is an integer number (461210295).

Almost surely, 2^36954040320 is an apocalyptic number.

36954040320 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 36954040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66414282480).

36954040320 is an abundant number, since it is smaller than the sum of its proper divisors (95874524640).

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

36954040320 is an equidigital number, since it uses as much as digits as its factorization.

36954040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14893 (or 14861 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 36954040320 in words is "thirty-six billion, nine hundred fifty-four million, forty thousand, three hundred twenty".