3407781888 has 448 divisors, whose sum is σ = 12078858240. Its totient is φ = 928972800.

The previous prime is 3407781877. The next prime is 3407781931. The reversal of 3407781888 is 8881877043.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×3407781888² = 23225954792361689088, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47996893 + ... + 47996963.

Almost surely, 2^3407781888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3407781888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6039429120).

3407781888 is an abundant number, since it is smaller than the sum of its proper divisors (8671076352).

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

3407781888 is an equidigital number, since it uses as much as digits as its factorization.

3407781888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The square root of 3407781888 is about 58376.2099489167. The cubic root of 3407781888 is about 1504.8409360851.

The spelling of 3407781888 in words is "three billion, four hundred seven million, seven hundred eighty-one thousand, eight hundred eighty-eight".