3454632513264 has 160 divisors (see below), whose sum is σ = 9509866329600. Its totient is φ = 1077556331520.

The previous prime is 3454632513217. The next prime is 3454632513287. The reversal of 3454632513264 is 4623152364543.

It is a super-2 number, since 2×3454632513264² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36493834 + ... + 36588374.

It is an arithmetic number, because the mean of its divisors is an integer number (59436664560).

Almost surely, 2^{3454632513264} 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 3454632513264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4754933164800).

3454632513264 is an abundant number, since it is smaller than the sum of its proper divisors (6055233816336).

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

3454632513264 is a wasteful number, since it uses less digits than its factorization.

3454632513264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95063 (or 95057 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 48.

The spelling of 3454632513264 in words is "three trillion, four hundred fifty-four billion, six hundred thirty-two million, five hundred thirteen thousand, two hundred sixty-four".