3254909040 has 120 divisors (see below), whose sum is σ = 10973270880. Its totient is φ = 864625152.

The previous prime is 3254909033. The next prime is 3254909083. The reversal of 3254909040 is 409094523.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 3254908986 and 3254909004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180766 + ... + 197954.

It is an arithmetic number, because the mean of its divisors is an integer number (91443924).

Almost surely, 2^3254909040 is an apocalyptic number.

3254909040 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 3254909040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486635440).

3254909040 is an abundant number, since it is smaller than the sum of its proper divisors (7718361840).

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

3254909040 is a wasteful number, since it uses less digits than its factorization.

3254909040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17471 (or 17462 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3254909040 is about 57051.8101378037. The cubic root of 3254909040 is about 1481.9934544887.

The spelling of 3254909040 in words is "three billion, two hundred fifty-four million, nine hundred nine thousand, forty".