36377472 has 64 divisors (see below), whose sum is σ = 98274960. Its totient is φ = 11919360.

The previous prime is 36377461. The next prime is 36377479. The reversal of 36377472 is 27477363.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×36377472² = 2646640938221568, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 36377472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36377479) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22648 + ... + 24200.

Almost surely, 2^36377472 is an apocalyptic number.

36377472 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 36377472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49137480).

36377472 is an abundant number, since it is smaller than the sum of its proper divisors (61897488).

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

36377472 is a wasteful number, since it uses less digits than its factorization.

36377472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1619 counting only the distinct ones).

The product of its digits is 148176, while the sum is 39.

The square root of 36377472 is about 6031.3739728191. The cubic root of 36377472 is about 331.3427749155.

The spelling of 36377472 in words is "thirty-six million, three hundred seventy-seven thousand, four hundred seventy-two".