3480541920 has 384 divisors, whose sum is σ = 13076743680. Its totient is φ = 861511680.

The previous prime is 3480541913. The next prime is 3480541931. The reversal of 3480541920 is 291450843.

3480541920 is a `hidden beast` number, since 34 + 80 + 541 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×3480541920² = 24228344113754572800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 6095235 + ... + 6095805.

It is an arithmetic number, because the mean of its divisors is an integer number (34054020).

Almost surely, 2^3480541920 is an apocalyptic number.

3480541920 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 3480541920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6538371840).

3480541920 is an abundant number, since it is smaller than the sum of its proper divisors (9596201760).

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

3480541920 is a wasteful number, since it uses less digits than its factorization.

3480541920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3480541920 is about 58996.1178383798. The cubic root of 3480541920 is about 1515.4756275478.

The spelling of 3480541920 in words is "three billion, four hundred eighty million, five hundred forty-one thousand, nine hundred twenty".