344574397440 has 2112 divisors, whose sum is σ = 1582314624000. Its totient is φ = 71010680832.

The previous prime is 344574397399. The next prime is 344574397471. The reversal of 344574397440 is 44793475443.

It is a happy number.

344574397440 is a `hidden beast` number, since 3 + 4 + 45 + 74 + 3 + 97 + 440 = 666.

It is a super-2 number, since 2×344574397440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8013358059 + ... + 8013358101.

It is an arithmetic number, because the mean of its divisors is an integer number (749202000).

Almost surely, 2^344574397440 is an apocalyptic number.

344574397440 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 344574397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791157312000).

344574397440 is an abundant number, since it is smaller than the sum of its proper divisors (1237740226560).

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

344574397440 is a wasteful number, since it uses less digits than its factorization.

344574397440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 344574397440 in words is "three hundred forty-four billion, five hundred seventy-four million, three hundred ninety-seven thousand, four hundred forty".