3397248000 has 352 divisors, whose sum is σ = 12568907520. Its totient is φ = 905011200.

The previous prime is 3397247969. The next prime is 3397248011. The reversal of 3397248000 is 8427933.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3455509 + ... + 3456491.

Almost surely, 2^3397248000 is an apocalyptic number.

3397248000 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 3397248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6284453760).

3397248000 is an abundant number, since it is smaller than the sum of its proper divisors (9171659520).

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

3397248000 is an equidigital number, since it uses as much as digits as its factorization.

3397248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3397248000 is about 58285.9159660376. The cubic root of 3397248000 is about 1503.2887839967.

The spelling of 3397248000 in words is "three billion, three hundred ninety-seven million, two hundred forty-eight thousand".