3346886400 has 864 divisors, whose sum is σ = 13796116992. Its totient is φ = 702873600.

The previous prime is 3346886383. The next prime is 3346886419. The reversal of 3346886400 is 46886433.

It is a super-2 number, since 2×3346886400² = 22403297149009920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63148774 + ... + 63148826.

It is an arithmetic number, because the mean of its divisors is an integer number (15967728).

Almost surely, 2^3346886400 is an apocalyptic number.

3346886400 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 3346886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6898058496).

3346886400 is an abundant number, since it is smaller than the sum of its proper divisors (10449230592).

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

3346886400 is a wasteful number, since it uses less digits than its factorization.

3346886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 3346886400 is about 57852.2808539128. The cubic root of 3346886400 is about 1495.8234037114.

The spelling of 3346886400 in words is "three billion, three hundred forty-six million, eight hundred eighty-six thousand, four hundred".