3345827940 has 576 divisors, whose sum is σ = 13314502656. Its totient is φ = 660870144.

The previous prime is 3345827939. The next prime is 3345827957. The reversal of 3345827940 is 497285433.

3345827940 is a `hidden beast` number, since 334 + 5 + 8 + 279 + 40 = 666.

It is a super-2 number, since 2×3345827940² = 22389129208169287200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31269367 + ... + 31269473.

It is an arithmetic number, because the mean of its divisors is an integer number (23115456).

Almost surely, 2^3345827940 is an apocalyptic number.

3345827940 is a gapful number since it is divisible by the number (30) 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 3345827940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6657251328).

3345827940 is an abundant number, since it is smaller than the sum of its proper divisors (9968674716).

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

3345827940 is a wasteful number, since it uses less digits than its factorization.

3345827940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3345827940 is about 57843.1321766033. The cubic root of 3345827940 is about 1495.6657012994.

The spelling of 3345827940 in words is "three billion, three hundred forty-five million, eight hundred twenty-seven thousand, nine hundred forty".