349742021760 has 384 divisors, whose sum is σ = 1218001224960. Its totient is φ = 92473344000.

The previous prime is 349742021737. The next prime is 349742021777. The reversal of 349742021760 is 67120247943.

349742021760 is a `hidden beast` number, since 3 + 4 + 9 + 7 + 420 + 217 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 465701385 + ... + 465702135.

It is an arithmetic number, because the mean of its divisors is an integer number (3171878190).

Almost surely, 2^349742021760 is an apocalyptic number.

349742021760 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 349742021760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609000612480).

349742021760 is an abundant number, since it is smaller than the sum of its proper divisors (868259203200).

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

349742021760 is a wasteful number, since it uses less digits than its factorization.

349742021760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 349742021760 in words is "three hundred forty-nine billion, seven hundred forty-two million, twenty-one thousand, seven hundred sixty".