348290518688640 has 2048 divisors, whose sum is σ = 1451494598400000. Its totient is φ = 77985939456000.

The previous prime is 348290518688599. The next prime is 348290518688663. The reversal of 348290518688640 is 46886815092843.

348290518688640 is a `hidden beast` number, since 3 + 4 + 8 + 2 + 9 + 0 + 518 + 68 + 8 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 98359365270 + ... + 98359368810.

It is an arithmetic number, because the mean of its divisors is an integer number (708737596875).

Almost surely, 2^{348290518688640} is an apocalyptic number.

348290518688640 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 348290518688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725747299200000).

348290518688640 is an abundant number, since it is smaller than the sum of its proper divisors (1103204079711360).

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

348290518688640 is a wasteful number, since it uses less digits than its factorization.

348290518688640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4157 (or 4139 counting only the distinct ones).

The product of its (nonzero) digits is 637009920, while the sum is 72.

The spelling of 348290518688640 in words is "three hundred forty-eight trillion, two hundred ninety billion, five hundred eighteen million, six hundred eighty-eight thousand, six hundred forty".