3126678240 has 240 divisors, whose sum is σ = 11494093968. Its totient is φ = 714405888.

The previous prime is 3126678223. The next prime is 3126678271. The reversal of 3126678240 is 428766213.

It is a happy number.

3126678240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3126678240² = 19552233632978995200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1151124 + ... + 1153836.

Almost surely, 2^3126678240 is an apocalyptic number.

3126678240 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 3126678240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5747046984).

3126678240 is an abundant number, since it is smaller than the sum of its proper divisors (8367415728).

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

3126678240 is an equidigital number, since it uses as much as digits as its factorization.

3126678240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 3126678240 is about 55916.7080576101. The cubic root of 3126678240 is about 1462.2705397913.

The spelling of 3126678240 in words is "three billion, one hundred twenty-six million, six hundred seventy-eight thousand, two hundred forty".