3240926640 has 600 divisors, whose sum is σ = 13392870480. Its totient is φ = 724018176.

The previous prime is 3240926629. The next prime is 3240926693. The reversal of 3240926640 is 466290423.

3240926640 is a `hidden beast` number, since 3 + 2 + 4 + 0 + 9 + 2 + 6 + 640 = 666.

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 = 3240926595 and 3240926604.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18733594 + ... + 18733766.

Almost surely, 2^3240926640 is an apocalyptic number.

3240926640 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 3240926640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6696435240).

3240926640 is an abundant number, since it is smaller than the sum of its proper divisors (10151943840).

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

3240926640 is a wasteful number, since it uses less digits than its factorization.

3240926640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3240926640 is about 56929.1370038226. The cubic root of 3240926640 is about 1479.8682984827.

It can be divided in two parts, 32409 and 26640, that added together give a 10-th power (59049 = 3¹⁰).

The spelling of 3240926640 in words is "three billion, two hundred forty million, nine hundred twenty-six thousand, six hundred forty".