3483689040 has 320 divisors, whose sum is σ = 13065830400. Its totient is φ = 848019456.

The previous prime is 3483689039. The next prime is 3483689051. The reversal of 3483689040 is 409863843.

It is a super-2 number, since 2×3483689040² = 24272178654832243200, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 2723121 + ... + 2724399.

It is an arithmetic number, because the mean of its divisors is an integer number (40830720).

Almost surely, 2^3483689040 is an apocalyptic number.

3483689040 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 3483689040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6532915200).

3483689040 is an abundant number, since it is smaller than the sum of its proper divisors (9582141360).

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

3483689040 is a wasteful number, since it uses less digits than its factorization.

3483689040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3483689040 is about 59022.7840753043. The cubic root of 3483689040 is about 1515.9322563324.

The spelling of 3483689040 in words is "three billion, four hundred eighty-three million, six hundred eighty-nine thousand, forty".