349477096320 has 1024 divisors, whose sum is σ = 1407791923200. Its totient is φ = 81168998400.

The previous prime is 349477096291. The next prime is 349477096321. The reversal of 349477096320 is 23690774943.

349477096320 is a `hidden beast` number, since 3 + 494 + 7 + 70 + 9 + 63 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349477096321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 748344727 + ... + 748345193.

It is an arithmetic number, because the mean of its divisors is an integer number (1374796800).

Almost surely, 2^349477096320 is an apocalyptic number.

349477096320 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 349477096320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703895961600).

349477096320 is an abundant number, since it is smaller than the sum of its proper divisors (1058314826880).

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

349477096320 is a wasteful number, since it uses less digits than its factorization.

349477096320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 349477096320 in words is "three hundred forty-nine billion, four hundred seventy-seven million, ninety-six thousand, three hundred twenty".