3274379136 has 576 divisors, whose sum is σ = 11972188800. Its totient is φ = 853493760.

The previous prime is 3274379113. The next prime is 3274379137. The reversal of 3274379136 is 6319734723.

It is a happy number.

3274379136 is a `hidden beast` number, since 3 + 274 + 379 + 1 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3274379091 and 3274379100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3274379137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46117981 + ... + 46118051.

It is an arithmetic number, because the mean of its divisors is an integer number (20785050).

Almost surely, 2^3274379136 is an apocalyptic number.

3274379136 is a gapful number since it is divisible by the number (36) 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 3274379136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5986094400).

3274379136 is an abundant number, since it is smaller than the sum of its proper divisors (8697809664).

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

3274379136 is a wasteful number, since it uses less digits than its factorization.

3274379136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 145 counting only the distinct ones).

The product of its digits is 571536, while the sum is 45.

The square root of 3274379136 is about 57222.1909402288. The cubic root of 3274379136 is about 1484.9425601018.

The spelling of 3274379136 in words is "three billion, two hundred seventy-four million, three hundred seventy-nine thousand, one hundred thirty-six".