3469627920 has 320 divisors, whose sum is σ = 12567695616. Its totient is φ = 782499840.

The previous prime is 3469627919. The next prime is 3469627921. The reversal of 3469627920 is 297269643.

It is an interprime number because it is at equal distance from previous prime (3469627919) and next prime (3469627921).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3469627920.

It is not an unprimeable number, because it can be changed into a prime (3469627921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4352962 + ... + 4353758.

Almost surely, 2^3469627920 is an apocalyptic number.

3469627920 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 3469627920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6283847808).

3469627920 is an abundant number, since it is smaller than the sum of its proper divisors (9098067696).

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

3469627920 is a wasteful number, since it uses less digits than its factorization.

3469627920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The square root of 3469627920 is about 58903.5476011420. The cubic root of 3469627920 is about 1513.8899339290.

The spelling of 3469627920 in words is "three billion, four hundred sixty-nine million, six hundred twenty-seven thousand, nine hundred twenty".