351868436400 has 480 divisors, whose sum is σ = 1229226324480. Its totient is φ = 85524848640.

The previous prime is 351868436371. The next prime is 351868436431. The reversal of 351868436400 is 4634868153.

It is a super-2 number, since 2×351868436400² (a number of 24 digits) contains 22 as substring.

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 351868436400.

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, 570288892 + ... + 570289508.

It is an arithmetic number, because the mean of its divisors is an integer number (2560888176).

Almost surely, 2^351868436400 is an apocalyptic number.

351868436400 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 351868436400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614613162240).

351868436400 is an abundant number, since it is smaller than the sum of its proper divisors (877357888080).

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

351868436400 is a wasteful number, since it uses less digits than its factorization.

351868436400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 351868436400 in words is "three hundred fifty-one billion, eight hundred sixty-eight million, four hundred thirty-six thousand, four hundred".