3400334033400 has 72 divisors (see below), whose sum is σ = 11419455134880. Its totient is φ = 906755741760.

The previous prime is 3400334033363. The next prime is 3400334033401. The reversal of 3400334033400 is 43304330043.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400334033401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 944535432 + ... + 944539031.

It is an arithmetic number, because the mean of its divisors is an integer number (158603543540).

Almost surely, 2^{3400334033400} is an apocalyptic number.

3400334033400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3400334033400 is an abundant number, since it is smaller than the sum of its proper divisors (8019121101480).

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

3400334033400 is a wasteful number, since it uses less digits than its factorization.

3400334033400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889074485 (or 1889074473 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 3400334033400 its reverse (43304330043), we get a palindrome (3443638363443).

The spelling of 3400334033400 in words is "three trillion, four hundred billion, three hundred thirty-four million, thirty-three thousand, four hundred".