346990660007040 has 1536 divisors, whose sum is σ = 1506744832320000. Its totient is φ = 73304872058880.

The previous prime is 346990660006967. The next prime is 346990660007041. The reversal of 346990660007040 is 40700066099643.

It is not an unprimeable number, because it can be changed into a prime (346990660007041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1538941992 + ... + 1539167448.

It is an arithmetic number, because the mean of its divisors is an integer number (980953666875).

Almost surely, 2^{346990660007040} is an apocalyptic number.

346990660007040 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 346990660007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753372416160000).

346990660007040 is an abundant number, since it is smaller than the sum of its proper divisors (1159754172312960).

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

346990660007040 is a wasteful number, since it uses less digits than its factorization.

346990660007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225563 (or 225534 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 346990660007040 in words is "three hundred forty-six trillion, nine hundred ninety billion, six hundred sixty million, seven thousand, forty".