36930409440 has 96 divisors (see below), whose sum is σ = 122453493120. Its totient is φ = 9329785344.

The previous prime is 36930409409. The next prime is 36930409441. The reversal of 36930409440 is 4490403963.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×36930409440² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36930409392 and 36930409401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36930409441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2015574 + ... + 2033813.

It is an arithmetic number, because the mean of its divisors is an integer number (1275557220).

Almost surely, 2^36930409440 is an apocalyptic number.

36930409440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36930409440 is an abundant number, since it is smaller than the sum of its proper divisors (85523083680).

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

36930409440 is a wasteful number, since it uses less digits than its factorization.

36930409440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4049424 (or 4049416 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The spelling of 36930409440 in words is "thirty-six billion, nine hundred thirty million, four hundred nine thousand, four hundred forty".