346462727400 has 288 divisors, whose sum is σ = 1215364176000. Its totient is φ = 88336765440.

The previous prime is 346462727363. The next prime is 346462727419. The reversal of 346462727400 is 4727264643.

It is a super-4 number, since 4×346462727400⁴ (a number of 47 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5344381 + ... + 5408819.

It is an arithmetic number, because the mean of its divisors is an integer number (4220014500).

Almost surely, 2^346462727400 is an apocalyptic number.

346462727400 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 346462727400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607682088000).

346462727400 is an abundant number, since it is smaller than the sum of its proper divisors (868901448600).

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

346462727400 is a wasteful number, since it uses less digits than its factorization.

346462727400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64593 (or 64581 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 346462727400 in words is "three hundred forty-six billion, four hundred sixty-two million, seven hundred twenty-seven thousand, four hundred".