3466745940 has 192 divisors, whose sum is σ = 11320565760. Its totient is φ = 776355840.

The previous prime is 3466745851. The next prime is 3466745951. The reversal of 3466745940 is 495476643.

It is a self number, because there is not a number n which added to its sum of digits gives 3466745940.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5408020 + ... + 5408660.

It is an arithmetic number, because the mean of its divisors is an integer number (58961280).

Almost surely, 2^3466745940 is an apocalyptic number.

3466745940 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 3466745940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5660282880).

3466745940 is an abundant number, since it is smaller than the sum of its proper divisors (7853819820).

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

3466745940 is a wasteful number, since it uses less digits than its factorization.

3466745940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The square root of 3466745940 is about 58879.0789669811. The cubic root of 3466745940 is about 1513.4706565901.

The spelling of 3466745940 in words is "three billion, four hundred sixty-six million, seven hundred forty-five thousand, nine hundred forty".