3254764724442 has 512 divisors, whose sum is σ = 9487431106560. Its totient is φ = 802691285760.

The previous prime is 3254764724417. The next prime is 3254764724443. The reversal of 3254764724442 is 2444274674523.

3254764724442 is a `hidden beast` number, since 3 + 25 + 4 + 76 + 472 + 44 + 42 = 666.

It is a super-2 number, since 2×3254764724442² (a number of 26 digits) contains 22 as substring.

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 (3254764724443) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1319319693 + ... + 1319322159.

It is an arithmetic number, because the mean of its divisors is an integer number (18530138880).

Almost surely, 2^{3254764724442} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3254764724442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4743715553280).

3254764724442 is an abundant number, since it is smaller than the sum of its proper divisors (6232666382118).

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

3254764724442 is a wasteful number, since it uses less digits than its factorization.

3254764724442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2743 (or 2737 counting only the distinct ones).

The product of its digits is 36126720, while the sum is 54.

The spelling of 3254764724442 in words is "three trillion, two hundred fifty-four billion, seven hundred sixty-four million, seven hundred twenty-four thousand, four hundred forty-two".