351264342000 has 640 divisors, whose sum is σ = 1342606067712. Its totient is φ = 77887488000.

The previous prime is 351264341999. The next prime is 351264342007. The reversal of 351264342000 is 243462153.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351264342007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 96952189 + ... + 96955811.

Almost surely, 2^351264342000 is an apocalyptic number.

351264342000 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 351264342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671303033856).

351264342000 is an abundant number, since it is smaller than the sum of its proper divisors (991341725712).

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

351264342000 is a wasteful number, since it uses less digits than its factorization.

351264342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3786 (or 3770 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 351264342000 in words is "three hundred fifty-one billion, two hundred sixty-four million, three hundred forty-two thousand".