3355874496 has 448 divisors, whose sum is σ = 11288166400. Its totient is φ = 970444800.

The previous prime is 3355874471. The next prime is 3355874497. The reversal of 3355874496 is 6944785533.

3355874496 is a `hidden beast` number, since 3 + 35 + 58 + 74 + 496 = 666.

It is a super-2 number, since 2×3355874496² = 22523787265806508032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (10886400) is a multiple of the sum of its prime divisors (189).

It is not an unprimeable number, because it can be changed into a prime (3355874497) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42479385 + ... + 42479463.

It is an arithmetic number, because the mean of its divisors is an integer number (25196800).

Almost surely, 2^3355874496 is an apocalyptic number.

3355874496 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 3355874496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5644083200).

3355874496 is an abundant number, since it is smaller than the sum of its proper divisors (7932291904).

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

3355874496 is a wasteful number, since it uses less digits than its factorization.

3355874496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 189 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The square root of 3355874496 is about 57929.9102018983. The cubic root of 3355874496 is about 1497.1612229524.

The spelling of 3355874496 in words is "three billion, three hundred fifty-five million, eight hundred seventy-four thousand, four hundred ninety-six".