3347666400 has 288 divisors, whose sum is σ = 12025667808. Its totient is φ = 803635200.

The previous prime is 3347666389. The next prime is 3347666407. The reversal of 3347666400 is 46667433.

It is a super-2 number, since 2×3347666400² = 22413740651377920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3347666407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1277892 + ... + 1280508.

It is an arithmetic number, because the mean of its divisors is an integer number (41755791).

Almost surely, 2^3347666400 is an apocalyptic number.

3347666400 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 3347666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6012833904).

3347666400 is an abundant number, since it is smaller than the sum of its proper divisors (8678001408).

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

3347666400 is a wasteful number, since it uses less digits than its factorization.

3347666400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 39.

The square root of 3347666400 is about 57859.0217684330. The cubic root of 3347666400 is about 1495.9395964440.

The spelling of 3347666400 in words is "three billion, three hundred forty-seven million, six hundred sixty-six thousand, four hundred".