3397439894400 has 480 divisors, whose sum is σ = 12804097315680. Its totient is φ = 886704537600.

The previous prime is 3397439894389. The next prime is 3397439894441. The reversal of 3397439894400 is 44989347933.

3397439894400 is a `hidden beast` number, since 3 + 39 + 74 + 3 + 98 + 9 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12042960 + ... + 12321840.

It is an arithmetic number, because the mean of its divisors is an integer number (26675202741).

Almost surely, 2^{3397439894400} is an apocalyptic number.

3397439894400 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 3397439894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6402048657840).

3397439894400 is an abundant number, since it is smaller than the sum of its proper divisors (9406657421280).

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

3397439894400 is a wasteful number, since it uses less digits than its factorization.

3397439894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278964 (or 278938 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 3397439894400 in words is "three trillion, three hundred ninety-seven billion, four hundred thirty-nine million, eight hundred ninety-four thousand, four hundred".