349290040320 has 1760 divisors, whose sum is σ = 1480034844288. Its totient is φ = 77970014208.

The previous prime is 349290040313. The next prime is 349290040361. The reversal of 349290040320 is 23040092943.

349290040320 is a `hidden beast` number, since 3 + 4 + 9 + 290 + 0 + 40 + 320 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3391165389 + ... + 3391165491.

Almost surely, 2^349290040320 is an apocalyptic number.

349290040320 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 349290040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740017422144).

349290040320 is an abundant number, since it is smaller than the sum of its proper divisors (1130744803968).

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

349290040320 is a wasteful number, since it uses less digits than its factorization.

349290040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 349290040320 in words is "three hundred forty-nine billion, two hundred ninety million, forty thousand, three hundred twenty".