364309890 has 128 divisors (see below), whose sum is σ = 1042882560. Its totient is φ = 79688448.

The previous prime is 364309879. The next prime is 364309901. The reversal of 364309890 is 98903463.

It is an interprime number because it is at equal distance from previous prime (364309879) and next prime (364309901).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 992487 + ... + 992853.

It is an arithmetic number, because the mean of its divisors is an integer number (8147520).

Almost surely, 2^364309890 is an apocalyptic number.

364309890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 364309890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521441280).

364309890 is an abundant number, since it is smaller than the sum of its proper divisors (678572670).

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

364309890 is a wasteful number, since it uses less digits than its factorization.

364309890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576.

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 364309890 is about 19086.9036252610. The cubic root of 364309890 is about 714.2062621531.

The spelling of 364309890 in words is "three hundred sixty-four million, three hundred nine thousand, eight hundred ninety".