3438477840 has 320 divisors, whose sum is σ = 12716900352. Its totient is φ = 752025600.

The previous prime is 3438477827. The next prime is 3438477859. The reversal of 3438477840 is 487748343.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3438477840.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5363920 + ... + 5364560.

Almost surely, 2^3438477840 is an apocalyptic number.

3438477840 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 3438477840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6358450176).

3438477840 is an abundant number, since it is smaller than the sum of its proper divisors (9278422512).

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

3438477840 is a wasteful number, since it uses less digits than its factorization.

3438477840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The square root of 3438477840 is about 58638.5354523798. The cubic root of 3438477840 is about 1509.3457745114.

The spelling of 3438477840 in words is "three billion, four hundred thirty-eight million, four hundred seventy-seven thousand, eight hundred forty".