3430040314800 has 240 divisors, whose sum is σ = 12507582106368. Its totient is φ = 795371596800.

The previous prime is 3430040314781. The next prime is 3430040314801. The reversal of 3430040314800 is 84130400343.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×3430040314800³ (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 (30).

It is not an unprimeable number, because it can be changed into a prime (3430040314801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5345347 + ... + 5952546.

Almost surely, 2^{3430040314800} is an apocalyptic number.

3430040314800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3430040314800 is an abundant number, since it is smaller than the sum of its proper divisors (9077541791568).

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

3430040314800 is a wasteful number, since it uses less digits than its factorization.

3430040314800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11297948 (or 11297937 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 3430040314800 in words is "three trillion, four hundred thirty billion, forty million, three hundred fourteen thousand, eight hundred".