3246687840 has 192 divisors, whose sum is σ = 11459024640. Its totient is φ = 765757440.

The previous prime is 3246687827. The next prime is 3246687841. The reversal of 3246687840 is 487866423.

It is a super-4 number, since 4×3246687840⁴ (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3246687840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3246687841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187051 + ... + 203669.

It is an arithmetic number, because the mean of its divisors is an integer number (59682420).

Almost surely, 2^3246687840 is an apocalyptic number.

3246687840 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 3246687840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5729512320).

3246687840 is an abundant number, since it is smaller than the sum of its proper divisors (8212336800).

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

3246687840 is a wasteful number, since it uses less digits than its factorization.

3246687840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16685 (or 16677 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The square root of 3246687840 is about 56979.7142849980. The cubic root of 3246687840 is about 1480.7446702972.

The spelling of 3246687840 in words is "three billion, two hundred forty-six million, six hundred eighty-seven thousand, eight hundred forty".