3434077975104 has 1568 divisors, whose sum is σ = 12710947700736. Its totient is φ = 898990202880.

The previous prime is 3434077975091. The next prime is 3434077975109. The reversal of 3434077975104 is 4015797704343.

It is a happy number.

3434077975104 is a `hidden beast` number, since 3 + 4 + 34 + 0 + 7 + 7 + 97 + 510 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3434077975109) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 25066262524 + ... + 25066262660.

Almost surely, 2^{3434077975104} 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 3434077975104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6355473850368).

3434077975104 is an abundant number, since it is smaller than the sum of its proper divisors (9276869725632).

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

3434077975104 is a wasteful number, since it uses less digits than its factorization.

3434077975104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 3434077975104 in words is "three trillion, four hundred thirty-four billion, seventy-seven million, nine hundred seventy-five thousand, one hundred four".