3484736640 has 896 divisors, whose sum is σ = 15732904320. Its totient is φ = 716636160.

The previous prime is 3484736639. The next prime is 3484736659. The reversal of 3484736640 is 466374843.

3484736640 is a `hidden beast` number, since 3 + 484 + 73 + 66 + 40 = 666.

3484736640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (896).

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 111 ways as a sum of consecutive naturals, for example, 35925072 + ... + 35925168.

It is an arithmetic number, because the mean of its divisors is an integer number (17559045).

Almost surely, 2^3484736640 is an apocalyptic number.

3484736640 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 3484736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7866452160).

3484736640 is an abundant number, since it is smaller than the sum of its proper divisors (12248167680).

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

3484736640 is an equidigital number, since it uses as much as digits as its factorization.

3484736640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The square root of 3484736640 is about 59031.6579472405. The cubic root of 3484736640 is about 1516.0841959815.

The spelling of 3484736640 in words is "three billion, four hundred eighty-four million, seven hundred thirty-six thousand, six hundred forty".