348578630400 has 1296 divisors, whose sum is σ = 1572757337088. Its totient is φ = 66834432000.

The previous prime is 348578630383. The next prime is 348578630431. The reversal of 348578630400 is 4036875843.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 348578630400.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 134533105 + ... + 134535695.

It is an arithmetic number, because the mean of its divisors is an integer number (1213547328).

Almost surely, 2^348578630400 is an apocalyptic number.

348578630400 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 348578630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786378668544).

348578630400 is an abundant number, since it is smaller than the sum of its proper divisors (1224178706688).

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

348578630400 is a wasteful number, since it uses less digits than its factorization.

348578630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2658 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 348578630400 in words is "three hundred forty-eight billion, five hundred seventy-eight million, six hundred thirty thousand, four hundred".