3438987840 has 280 divisors, whose sum is σ = 12878775360. Its totient is φ = 868672512.

The previous prime is 3438987781. The next prime is 3438987847. The reversal of 3438987840 is 487898343.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3438987847) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 488989 + ... + 495971.

Almost surely, 2^3438987840 is an apocalyptic number.

3438987840 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 3438987840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6439387680).

3438987840 is an abundant number, since it is smaller than the sum of its proper divisors (9439787520).

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

3438987840 is a wasteful number, since it uses less digits than its factorization.

3438987840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7031 (or 7012 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 3438987840 is about 58642.8839672811. The cubic root of 3438987840 is about 1509.4203936041.

The spelling of 3438987840 in words is "three billion, four hundred thirty-eight million, nine hundred eighty-seven thousand, eight hundred forty".