3438102240 has 192 divisors, whose sum is σ = 12102592320. Its totient is φ = 911554560.

The previous prime is 3438102229. The next prime is 3438102289. The reversal of 3438102240 is 422018343.

3438102240 is a `hidden beast` number, since 3 + 438 + 1 + 0 + 224 + 0 = 666.

3438102240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 779722 + ... + 784118.

It is an arithmetic number, because the mean of its divisors is an integer number (63034335).

Almost surely, 2^3438102240 is an apocalyptic number.

3438102240 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 3438102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6051296160).

3438102240 is an abundant number, since it is smaller than the sum of its proper divisors (8664490080).

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

3438102240 is a wasteful number, since it uses less digits than its factorization.

3438102240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4602 (or 4588 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3438102240 is about 58635.3326928397. The cubic root of 3438102240 is about 1509.2908150262.

The spelling of 3438102240 in words is "three billion, four hundred thirty-eight million, one hundred two thousand, two hundred forty".