3400755840 has 448 divisors, whose sum is σ = 12582309960. Its totient is φ = 877879296.

The previous prime is 3400755797. The next prime is 3400755851. The reversal of 3400755840 is 485570043.

3400755840 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 75 + 584 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3376074816 + 24681024 = 58104^2 + 4968^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3400755795 and 3400755804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 17262622 + ... + 17262818.

Almost surely, 2^3400755840 is an apocalyptic number.

3400755840 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 3400755840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6291154980).

3400755840 is an abundant number, since it is smaller than the sum of its proper divisors (9181554120).

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

3400755840 is an equidigital number, since it uses as much as digits as its factorization.

3400755840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 3400755840 is about 58315.9998628164. Note that the first 3 decimals coincide. The cubic root of 3400755840 is about 1503.8060146671.

The spelling of 3400755840 in words is "three billion, four hundred million, seven hundred fifty-five thousand, eight hundred forty".