349774909440 has 416 divisors, whose sum is σ = 1285187558400. Its totient is φ = 80328130560.

The previous prime is 349774909433. The next prime is 349774909483. The reversal of 349774909440 is 44909477943.

It is a super-2 number, since 2×349774909440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12827341 + ... + 12854579.

Almost surely, 2^349774909440 is an apocalyptic number.

349774909440 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 349774909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642593779200).

349774909440 is an abundant number, since it is smaller than the sum of its proper divisors (935412648960).

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

349774909440 is a wasteful number, since it uses less digits than its factorization.

349774909440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27301 (or 27279 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 60.

The spelling of 349774909440 in words is "three hundred forty-nine billion, seven hundred seventy-four million, nine hundred nine thousand, four hundred forty".