3398077440 has 352 divisors, whose sum is σ = 12356674560. Its totient is φ = 885178368.

The previous prime is 3398077427. The next prime is 3398077531. The reversal of 3398077440 is 447708933.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 6497019 + ... + 6497541.

Almost surely, 2^3398077440 is an apocalyptic number.

3398077440 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 3398077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6178337280).

3398077440 is an abundant number, since it is smaller than the sum of its proper divisors (8958597120).

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

3398077440 is a wasteful number, since it uses less digits than its factorization.

3398077440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 3398077440 is about 58293.0308012888. The cubic root of 3398077440 is about 1503.4111169739.

The spelling of 3398077440 in words is "three billion, three hundred ninety-eight million, seventy-seven thousand, four hundred forty".