3274236727104 has 672 divisors, whose sum is σ = 10593689272320. Its totient is φ = 888852787200.

The previous prime is 3274236727057. The next prime is 3274236727121. The reversal of 3274236727104 is 4017276324723.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3274236727104² (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 95 ways as a sum of consecutive naturals, for example, 4037282859 + ... + 4037283669.

It is an arithmetic number, because the mean of its divisors is an integer number (15764418560).

Almost surely, 2^{3274236727104} 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 3274236727104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5296844636160).

3274236727104 is an abundant number, since it is smaller than the sum of its proper divisors (7319452545216).

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

3274236727104 is a wasteful number, since it uses less digits than its factorization.

3274236727104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 48.

The spelling of 3274236727104 in words is "three trillion, two hundred seventy-four billion, two hundred thirty-six million, seven hundred twenty-seven thousand, one hundred four".