3386759040 has 896 divisors, whose sum is σ = 14930205120. Its totient is φ = 716636160.

The previous prime is 3386759027. The next prime is 3386759071. The reversal of 3386759040 is 409576833.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×3386759040² = 22940273590043443200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 55520610 + ... + 55520670.

Almost surely, 2^3386759040 is an apocalyptic number.

3386759040 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 3386759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7465102560).

3386759040 is an abundant number, since it is smaller than the sum of its proper divisors (11543446080).

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

3386759040 is an equidigital number, since it uses as much as digits as its factorization.

3386759040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3386759040 is about 58195.8678945507. The cubic root of 3386759040 is about 1501.7400606787.

The spelling of 3386759040 in words is "three billion, three hundred eighty-six million, seven hundred fifty-nine thousand, forty".