3335640000 has 840 divisors, whose sum is σ = 14511454848. Its totient is φ = 656640000.

The previous prime is 3335639963. The next prime is 3335640013. The reversal of 3335640000 is 465333.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×3335640000² = 22252988419200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 175559991 + ... + 175560009.

Almost surely, 2^3335640000 is an apocalyptic number.

3335640000 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 3335640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7255727424).

3335640000 is an abundant number, since it is smaller than the sum of its proper divisors (11175814848).

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

3335640000 is a wasteful number, since it uses less digits than its factorization.

3335640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 3335640000 is about 57754.9997835685. Note that the first 3 decimals coincide. The cubic root of 3335640000 is about 1494.1460729670.

The spelling of 3335640000 in words is "three billion, three hundred thirty-five million, six hundred forty thousand".