3398526720 has 180 divisors, whose sum is σ = 12160921080. Its totient is φ = 906246144.

The previous prime is 3398526707. The next prime is 3398526739. The reversal of 3398526720 is 276258933.

3398526720 is a `hidden beast` number, since 33 + 98 + 526 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 87291 + ... + 120069.

Almost surely, 2^3398526720 is an apocalyptic number.

3398526720 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 3398526720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6080460540).

3398526720 is an abundant number, since it is smaller than the sum of its proper divisors (8762394360).

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

3398526720 is an equidigital number, since it uses as much as digits as its factorization.

3398526720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32812 (or 32789 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3398526720 is about 58296.8843078256. The cubic root of 3398526720 is about 1503.4773723582.

The spelling of 3398526720 in words is "three billion, three hundred ninety-eight million, five hundred twenty-six thousand, seven hundred twenty".