3650976 has 72 divisors (see below), whose sum is σ = 11872224. Its totient is φ = 1042560.

The previous prime is 3650957. The next prime is 3650989. The reversal of 3650976 is 6790563.

It is a happy number.

3650976 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

3650976 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 3650976.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1111 + ... + 2921.

It is an arithmetic number, because the mean of its divisors is an integer number (164892).

Almost surely, 2^3650976 is an apocalyptic number.

3650976 is a gapful number since it is divisible by the number (36) 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 3650976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5936112).

3650976 is an abundant number, since it is smaller than the sum of its proper divisors (8221248).

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

3650976 is a wasteful number, since it uses less digits than its factorization.

3650976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 3650976 is about 1910.7527312554. The cubic root of 3650976 is about 153.9818947625.

It can be divided in two parts, 36509 and 76, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 3650976 in words is "three million, six hundred fifty thousand, nine hundred seventy-six".