349312197767400 has 1152 divisors, whose sum is σ = 1430523754905600. Its totient is φ = 78097879641600.

The previous prime is 349312197767383. The next prime is 349312197767509. The reversal of 349312197767400 is 4767791213943.

349312197767400 is a `hidden beast` number, since 3 + 4 + 9 + 3 + 1 + 219 + 7 + 7 + 6 + 7 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2385824997 + ... + 2385971403.

It is an arithmetic number, because the mean of its divisors is an integer number (1241774092800).

Almost surely, 2^{349312197767400} is an apocalyptic number.

349312197767400 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 349312197767400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715261877452800).

349312197767400 is an abundant number, since it is smaller than the sum of its proper divisors (1081211557138200).

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

349312197767400 is a wasteful number, since it uses less digits than its factorization.

349312197767400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146644 (or 146622 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 63.

The spelling of 349312197767400 in words is "three hundred forty-nine trillion, three hundred twelve billion, one hundred ninety-seven million, seven hundred sixty-seven thousand, four hundred".