349251056640 has 880 divisors, whose sum is σ = 1331565312000. Its totient is φ = 87286284288.

The previous prime is 349251056599. The next prime is 349251056641. The reversal of 349251056640 is 46650152943.

349251056640 is a `hidden beast` number, since 3 + 4 + 92 + 510 + 5 + 6 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349251056641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1000719186 + ... + 1000719534.

It is an arithmetic number, because the mean of its divisors is an integer number (1513142400).

Almost surely, 2^349251056640 is an apocalyptic number.

349251056640 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 349251056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665782656000).

349251056640 is an abundant number, since it is smaller than the sum of its proper divisors (982314255360).

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

349251056640 is a wasteful number, since it uses less digits than its factorization.

349251056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 349251056640 in words is "three hundred forty-nine billion, two hundred fifty-one million, fifty-six thousand, six hundred forty".