3480298920 has 256 divisors, whose sum is σ = 13458124800. Its totient is φ = 783509760.

The previous prime is 3480298919. The next prime is 3480298949. The reversal of 3480298920 is 298920843.

3480298920 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3480298920² = 24224961145106332800, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 503085 + ... + 509955.

It is an arithmetic number, because the mean of its divisors is an integer number (52570800).

Almost surely, 2^3480298920 is an apocalyptic number.

3480298920 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 3480298920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6729062400).

3480298920 is an abundant number, since it is smaller than the sum of its proper divisors (9977825880).

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

3480298920 is a wasteful number, since it uses less digits than its factorization.

3480298920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6965 (or 6955 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3480298920 is about 58994.0583448876. The cubic root of 3480298920 is about 1515.4403582175.

The spelling of 3480298920 in words is "three billion, four hundred eighty million, two hundred ninety-eight thousand, nine hundred twenty".