348973954560 has 3840 divisors, whose sum is σ = 1813705344000. Its totient is φ = 62426972160.

The previous prime is 348973954501. The next prime is 348973954621. The reversal of 348973954560 is 65459379843.

348973954560 is a `hidden beast` number, since 3 + 4 + 8 + 97 + 3 + 95 + 456 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×348973954560² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12033584626 + ... + 12033584654.

It is an arithmetic number, because the mean of its divisors is an integer number (472319100).

Almost surely, 2^348973954560 is an apocalyptic number.

348973954560 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 348973954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906852672000).

348973954560 is an abundant number, since it is smaller than the sum of its proper divisors (1464731389440).

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

348973954560 is a wasteful number, since it uses less digits than its factorization.

348973954560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 348973954560 in words is "three hundred forty-eight billion, nine hundred seventy-three million, nine hundred fifty-four thousand, five hundred sixty".