36408960 has 384 divisors, whose sum is σ = 153489600. Its totient is φ = 8128512.

The previous prime is 36408941. The next prime is 36408971. The reversal of 36408960 is 6980463.

36408960 is a `hidden beast` number, since 3 + 640 + 8 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×36408960² = 2651224736563200, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 846699 + ... + 846741.

Almost surely, 2^36408960 is an apocalyptic number.

36408960 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 36408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76744800).

36408960 is an abundant number, since it is smaller than the sum of its proper divisors (117080640).

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

36408960 is a wasteful number, since it uses less digits than its factorization.

36408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 60 counting only the distinct ones).

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

The square root of 36408960 is about 6033.9837586788. The cubic root of 36408960 is about 331.4383497483.

The spelling of 36408960 in words is "thirty-six million, four hundred eight thousand, nine hundred sixty".