36377952 has 96 divisors (see below), whose sum is σ = 104203008. Its totient is φ = 11045376.

The previous prime is 36377933. The next prime is 36377963. The reversal of 36377952 is 25977363.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128403 + ... + 128685.

It is an arithmetic number, because the mean of its divisors is an integer number (1085448).

Almost surely, 2^36377952 is an apocalyptic number.

36377952 is a gapful number since it is divisible by the number (32) 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 36377952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52101504).

36377952 is an abundant number, since it is smaller than the sum of its proper divisors (67825056).

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

36377952 is a wasteful number, since it uses less digits than its factorization.

36377952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 404 counting only the distinct ones).

The product of its digits is 238140, while the sum is 42.

The square root of 36377952 is about 6031.4137646161. The cubic root of 36377952 is about 331.3442322628.

The spelling of 36377952 in words is "thirty-six million, three hundred seventy-seven thousand, nine hundred fifty-two".