346633909478640 has 960 divisors, whose sum is σ = 1480870418227200. Its totient is φ = 70867552665600.

The previous prime is 346633909478579. The next prime is 346633909478669. The reversal of 346633909478640 is 46874909336643.

346633909478640 is a `hidden beast` number, since 3 + 4 + 6 + 6 + 3 + 3 + 90 + 9 + 478 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 120286956 + ... + 123134964.

It is an arithmetic number, because the mean of its divisors is an integer number (1542573352320).

Almost surely, 2^{346633909478640} is an apocalyptic number.

346633909478640 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 346633909478640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740435209113600).

346633909478640 is an abundant number, since it is smaller than the sum of its proper divisors (1134236508748560).

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

346633909478640 is a wasteful number, since it uses less digits than its factorization.

346633909478640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2848126 (or 2848117 counting only the distinct ones).

The product of its (nonzero) digits is 1693052928, while the sum is 72.

The spelling of 346633909478640 in words is "three hundred forty-six trillion, six hundred thirty-three billion, nine hundred nine million, four hundred seventy-eight thousand, six hundred forty".