3430907840640 has 768 divisors, whose sum is σ = 13062026355840. Its totient is φ = 763305984000.

The previous prime is 3430907840629. The next prime is 3430907840819. The reversal of 3430907840640 is 460487090343.

It is a super-3 number, since 3×3430907840640³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3430907840640.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2364511915 + ... + 2364513365.

Almost surely, 2^{3430907840640} is an apocalyptic number.

3430907840640 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 3430907840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531013177920).

3430907840640 is an abundant number, since it is smaller than the sum of its proper divisors (9631118515200).

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

3430907840640 is a wasteful number, since it uses less digits than its factorization.

3430907840640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 3430907840640 in words is "three trillion, four hundred thirty billion, nine hundred seven million, eight hundred forty thousand, six hundred forty".