359713116 has 144 divisors (see below), whose sum is σ = 1097218080. Its totient is φ = 101606400.

The previous prime is 359713099. The next prime is 359713117. The reversal of 359713116 is 611317953.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359713117) 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, 534156 + ... + 534828.

It is an arithmetic number, because the mean of its divisors is an integer number (7619570).

Almost surely, 2^359713116 is an apocalyptic number.

359713116 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 359713116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548609040).

359713116 is an abundant number, since it is smaller than the sum of its proper divisors (737504964).

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

359713116 is a wasteful number, since it uses less digits than its factorization.

359713116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 786 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

The square root of 359713116 is about 18966.1043970553. The cubic root of 359713116 is about 711.1896447952.

The spelling of 359713116 in words is "three hundred fifty-nine million, seven hundred thirteen thousand, one hundred sixteen".