3347366400 has 540 divisors, whose sum is σ = 13958603802. Its totient is φ = 763822080.

The previous prime is 3347366377. The next prime is 3347366411. The reversal of 3347366400 is 46637433.

3347366400 is a `hidden beast` number, since 3 + 3 + 4 + 7 + 3 + 6 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2642782464 + 704583936 = 51408^2 + 26544^2 .

It is a super-3 number, since 3×3347366400³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5644504 + ... + 5645096.

Almost surely, 2^3347366400 is an apocalyptic number.

3347366400 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 3347366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6979301901).

3347366400 is an abundant number, since it is smaller than the sum of its proper divisors (10611237402).

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

3347366400 is a wasteful number, since it uses less digits than its factorization.

3347366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The square root of 3347366400 is about 57856.4292019478. The cubic root of 3347366400 is about 1495.8949090676.

The spelling of 3347366400 in words is "three billion, three hundred forty-seven million, three hundred sixty-six thousand, four hundred".