3484357776 has 160 divisors (see below), whose sum is σ = 10332672000. Its totient is φ = 1123476480.

The previous prime is 3484357763. The next prime is 3484357777. The reversal of 3484357776 is 6777534843.

3484357776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3484357776² = 24281498222343332352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3484357777) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2248650 + ... + 2250198.

It is an arithmetic number, because the mean of its divisors is an integer number (64579200).

Almost surely, 2^3484357776 is an apocalyptic number.

3484357776 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 3484357776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5166336000).

3484357776 is an abundant number, since it is smaller than the sum of its proper divisors (6848314224).

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

3484357776 is a wasteful number, since it uses less digits than its factorization.

3484357776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 1722 counting only the distinct ones).

The product of its digits is 11854080, while the sum is 54.

The square root of 3484357776 is about 59028.4488700152. The cubic root of 3484357776 is about 1516.0292506011.

The spelling of 3484357776 in words is "three billion, four hundred eighty-four million, three hundred fifty-seven thousand, seven hundred seventy-six".