3467991840 has 192 divisors, whose sum is σ = 11644746624. Its totient is φ = 864534528.

The previous prime is 3467991829. The next prime is 3467991869. The reversal of 3467991840 is 481997643.

3467991840 is digitally balanced in base 2 and base 4, because in such bases 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 (51).

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, 1279767 + ... + 1282473.

It is an arithmetic number, because the mean of its divisors is an integer number (60649722).

Almost surely, 2^3467991840 is an apocalyptic number.

3467991840 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 3467991840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5822373312).

3467991840 is an abundant number, since it is smaller than the sum of its proper divisors (8176754784).

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

3467991840 is a wasteful number, since it uses less digits than its factorization.

3467991840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2899 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The square root of 3467991840 is about 58889.6581752688. The cubic root of 3467991840 is about 1513.6519416029.

The spelling of 3467991840 in words is "three billion, four hundred sixty-seven million, nine hundred ninety-one thousand, eight hundred forty".