348607693980 has 1728 divisors, whose sum is σ = 1491767746560. Its totient is φ = 64144244736.

The previous prime is 348607693949. The next prime is 348607694051. The reversal of 348607693980 is 89396706843.

348607693980 is a `hidden beast` number, since 3 + 486 + 0 + 7 + 69 + 3 + 98 + 0 = 666.

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 575 ways as a sum of consecutive naturals, for example, 4412755581 + ... + 4412755659.

It is an arithmetic number, because the mean of its divisors is an integer number (863291520).

Almost surely, 2^348607693980 is an apocalyptic number.

348607693980 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 348607693980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745883873280).

348607693980 is an abundant number, since it is smaller than the sum of its proper divisors (1143160052580).

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

348607693980 is a wasteful number, since it uses less digits than its factorization.

348607693980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 348607693980 in words is "three hundred forty-eight billion, six hundred seven million, six hundred ninety-three thousand, nine hundred eighty".