364749840 has 480 divisors, whose sum is σ = 1592398080. Its totient is φ = 72658944.

The previous prime is 364749823. The next prime is 364749863. The reversal of 364749840 is 48947463.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1244734 + ... + 1245026.

It is an arithmetic number, because the mean of its divisors is an integer number (3317496).

Almost surely, 2^364749840 is an apocalyptic number.

364749840 is a gapful number since it is divisible by the number (30) 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 364749840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796199040).

364749840 is an abundant number, since it is smaller than the sum of its proper divisors (1227648240).

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

364749840 is a wasteful number, since it uses less digits than its factorization.

364749840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 364749840 is about 19098.4250659577. The cubic root of 364749840 is about 714.4936444557.

The spelling of 364749840 in words is "three hundred sixty-four million, seven hundred forty-nine thousand, eight hundred forty".