3414746790 has 384 divisors, whose sum is σ = 11405721600. Its totient is φ = 704132352.

The previous prime is 3414746771. The next prime is 3414746791. The reversal of 3414746790 is 976474143.

3414746790 is a `hidden beast` number, since 34 + 1 + 474 + 67 + 90 = 666.

3414746790 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414746791) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26887707 + ... + 26887833.

It is an arithmetic number, because the mean of its divisors is an integer number (29702400).

Almost surely, 2^3414746790 is an apocalyptic number.

3414746790 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3414746790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5702860800).

3414746790 is an abundant number, since it is smaller than the sum of its proper divisors (7990974810).

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

3414746790 is a wasteful number, since it uses less digits than its factorization.

3414746790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 3414746790 is about 58435.8348104996. The cubic root of 3414746790 is about 1505.8654477864.

The spelling of 3414746790 in words is "three billion, four hundred fourteen million, seven hundred forty-six thousand, seven hundred ninety".