344977920 has 640 divisors, whose sum is σ = 1508474880. Its totient is φ = 72990720.

The previous prime is 344977909. The next prime is 344977961. The reversal of 344977920 is 29779443.

344977920 = T₁₄₁ + T₁₄₂ + ... + T₁₂₇₄.

It is a tau number, because it is divible by the number of its divisors (640).

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

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, 11128305 + ... + 11128335.

It is an arithmetic number, because the mean of its divisors is an integer number (2356992).

Almost surely, 2^344977920 is an apocalyptic number.

344977920 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 344977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754237440).

344977920 is an abundant number, since it is smaller than the sum of its proper divisors (1163496960).

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

344977920 is a wasteful number, since it uses less digits than its factorization.

344977920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 344977920 is about 18573.5812378766. The cubic root of 344977920 is about 701.3429457287.

The spelling of 344977920 in words is "three hundred forty-four million, nine hundred seventy-seven thousand, nine hundred twenty".