346496640 has 384 divisors, whose sum is σ = 1339545600. Its totient is φ = 75866112.

The previous prime is 346496639. The next prime is 346496651. The reversal of 346496640 is 46694643.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 346496592 and 346496601.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2728257 + ... + 2728383.

It is an arithmetic number, because the mean of its divisors is an integer number (3488400).

Almost surely, 2^346496640 is an apocalyptic number.

346496640 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 346496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669772800).

346496640 is an abundant number, since it is smaller than the sum of its proper divisors (993048960).

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

346496640 is a wasteful number, since it uses less digits than its factorization.

346496640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The square root of 346496640 is about 18614.4202165955. The cubic root of 346496640 is about 702.3706291996.

The spelling of 346496640 in words is "three hundred forty-six million, four hundred ninety-six thousand, six hundred forty".