3397309727400 has 480 divisors, whose sum is σ = 12060875376000. Its totient is φ = 886086190080.

The previous prime is 3397309727387. The next prime is 3397309727411. The reversal of 3397309727400 is 47279037933.

It is a happy number.

3397309727400 is a `hidden beast` number, since 33 + 97 + 30 + 97 + 2 + 7 + 400 = 666.

3397309727400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 136926196 + ... + 136951004.

It is an arithmetic number, because the mean of its divisors is an integer number (25126823700).

Almost surely, 2^{3397309727400} is an apocalyptic number.

3397309727400 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 3397309727400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6030437688000).

3397309727400 is an abundant number, since it is smaller than the sum of its proper divisors (8663565648600).

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

3397309727400 is a wasteful number, since it uses less digits than its factorization.

3397309727400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25023 (or 25005 counting only the distinct ones).

The product of its (nonzero) digits is 6001128, while the sum is 54.

The spelling of 3397309727400 in words is "three trillion, three hundred ninety-seven billion, three hundred nine million, seven hundred twenty-seven thousand, four hundred".