360003996 has 72 divisors (see below), whose sum is σ = 1002678768. Its totient is φ = 108000000.

The previous prime is 360003991. The next prime is 360003997. The reversal of 360003996 is 699300063.

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

360003996 is a modest number, since divided by 3996 gives 360 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 360003996.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360003991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35496 + ... + 44496.

It is an arithmetic number, because the mean of its divisors is an integer number (13926094).

Almost surely, 2^360003996 is an apocalyptic number.

360003996 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 360003996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501339384).

360003996 is an abundant number, since it is smaller than the sum of its proper divisors (642674772).

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

360003996 is a wasteful number, since it uses less digits than its factorization.

360003996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9123 (or 9118 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 360003996 is about 18973.7712645641. The cubic root of 360003996 is about 711.3812929893.

The spelling of 360003996 in words is "three hundred sixty million, three thousand, nine hundred ninety-six".