349371935640 has 768 divisors, whose sum is σ = 1487855001600. Its totient is φ = 71327692800.

The previous prime is 349371935603. The next prime is 349371935681. The reversal of 349371935640 is 46539173943.

349371935640 is a `hidden beast` number, since 3 + 4 + 9 + 3 + 71 + 9 + 3 + 564 + 0 = 666.

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

It is a congruent number.

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, 39602430 + ... + 39611250.

It is an arithmetic number, because the mean of its divisors is an integer number (1937311200).

Almost surely, 2^349371935640 is an apocalyptic number.

349371935640 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 349371935640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743927500800).

349371935640 is an abundant number, since it is smaller than the sum of its proper divisors (1138483065960).

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

349371935640 is a wasteful number, since it uses less digits than its factorization.

349371935640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8905 (or 8882 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 349371935640 in words is "three hundred forty-nine billion, three hundred seventy-one million, nine hundred thirty-five thousand, six hundred forty".