3264769249728 has 896 divisors, whose sum is σ = 11591958528000. Its totient is φ = 804722688000.

The previous prime is 3264769249663. The next prime is 3264769249789. The reversal of 3264769249728 is 8279429674623.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 659413653 + ... + 659418603.

Almost surely, 2^{3264769249728} is an apocalyptic number.

3264769249728 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3264769249728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5795979264000).

3264769249728 is an abundant number, since it is smaller than the sum of its proper divisors (8327189278272).

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

3264769249728 is a wasteful number, since it uses less digits than its factorization.

3264769249728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5054 (or 5030 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 69.

The spelling of 3264769249728 in words is "three trillion, two hundred sixty-four billion, seven hundred sixty-nine million, two hundred forty-nine thousand, seven hundred twenty-eight".