3398623920 has 200 divisors, whose sum is σ = 11927819904. Its totient is φ = 896790528.

The previous prime is 3398623897. The next prime is 3398623927. The reversal of 3398623920 is 293268933.

3398623920 is a `hidden beast` number, since 3 + 398 + 6 + 239 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3398623927) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 625857 + ... + 631263.

Almost surely, 2^3398623920 is an apocalyptic number.

3398623920 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 3398623920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5963909952).

3398623920 is an abundant number, since it is smaller than the sum of its proper divisors (8529195984).

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

3398623920 is a wasteful number, since it uses less digits than its factorization.

3398623920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5529 (or 5514 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 3398623920 is about 58297.7179656288. The cubic root of 3398623920 is about 1503.4917056875.

The spelling of 3398623920 in words is "three billion, three hundred ninety-eight million, six hundred twenty-three thousand, nine hundred twenty".