3484290816 has 180 divisors, whose sum is σ = 10488516192. Its totient is φ = 1150377984.

The previous prime is 3484290793. The next prime is 3484290827. The reversal of 3484290816 is 6180924843.

It is a happy number.

3484290816 is a `hidden beast` number, since 3 + 484 + 2 + 90 + 81 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2342425 + ... + 2343911.

Almost surely, 2^3484290816 is an apocalyptic number.

3484290816 is a gapful number since it is divisible by the number (36) 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 3484290816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5244258096).

3484290816 is an abundant number, since it is smaller than the sum of its proper divisors (7004225376).

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

3484290816 is a wasteful number, since it uses less digits than its factorization.

3484290816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 3484290816 is about 59027.8816831504. The cubic root of 3484290816 is about 1516.0195392018.

The spelling of 3484290816 in words is "three billion, four hundred eighty-four million, two hundred ninety thousand, eight hundred sixteen".