348784800000 has 864 divisors, whose sum is σ = 1428920043264. Its totient is φ = 73543680000.

The previous prime is 348784799953. The next prime is 348784800019. The reversal of 348784800000 is 8487843.

It is a super-2 number, since 2×348784800000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 218399202 + ... + 218400798.

Almost surely, 2^348784800000 is an apocalyptic number.

348784800000 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 348784800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714460021632).

348784800000 is an abundant number, since it is smaller than the sum of its proper divisors (1080135243264).

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

348784800000 is an equidigital number, since it uses as much as digits as its factorization.

348784800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 348784800000 in words is "three hundred forty-eight billion, seven hundred eighty-four million, eight hundred thousand".