365613696 has 384 divisors, whose sum is σ = 1339545600. Its totient is φ = 97542144.

The previous prime is 365613683. The next prime is 365613697. The reversal of 365613696 is 696316563.

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

It is not an unprimeable number, because it can be changed into a prime (365613697) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2878785 + ... + 2878911.

It is an arithmetic number, because the mean of its divisors is an integer number (3488400).

Almost surely, 2^365613696 is an apocalyptic number.

365613696 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 365613696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669772800).

365613696 is an abundant number, since it is smaller than the sum of its proper divisors (973931904).

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

365613696 is a wasteful number, since it uses less digits than its factorization.

365613696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 156 counting only the distinct ones).

The product of its digits is 524880, while the sum is 45.

The square root of 365613696 is about 19121.0275874494. The cubic root of 365613696 is about 715.0572572205.

The spelling of 365613696 in words is "three hundred sixty-five million, six hundred thirteen thousand, six hundred ninety-six".