3400432301304 has 192 divisors, whose sum is σ = 9480219840000. Its totient is φ = 1100554283520.

The previous prime is 3400432301291. The next prime is 3400432301317. The reversal of 3400432301304 is 4031032340043.

3400432301304 is a `hidden beast` number, since 34 + 0 + 0 + 4 + 323 + 0 + 1 + 304 = 666.

It is an interprime number because it is at equal distance from previous prime (3400432301291) and next prime (3400432301317).

It is a congruent number.

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, 1115259972 + ... + 1115263020.

It is an arithmetic number, because the mean of its divisors is an integer number (49376145000).

Almost surely, 2^{3400432301304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3400432301304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4740109920000).

3400432301304 is an abundant number, since it is smaller than the sum of its proper divisors (6079787538696).

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

3400432301304 is a wasteful number, since it uses less digits than its factorization.

3400432301304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5618 (or 5611 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 3400432301304 its reverse (4031032340043), we get a palindrome (7431464641347).

The spelling of 3400432301304 in words is "three trillion, four hundred billion, four hundred thirty-two million, three hundred one thousand, three hundred four".