3438804642 has 384 divisors, whose sum is σ = 10034626560. Its totient is φ = 761425920.

The previous prime is 3438804631. The next prime is 3438804653. The reversal of 3438804642 is 2464088343.

It is an interprime number because it is at equal distance from previous prime (3438804631) and next prime (3438804653).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3438804594 and 3438804603.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 92940648 + ... + 92940684.

It is an arithmetic number, because the mean of its divisors is an integer number (26131840).

Almost surely, 2^3438804642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3438804642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5017313280).

3438804642 is an abundant number, since it is smaller than the sum of its proper divisors (6595821918).

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

3438804642 is a wasteful number, since it uses less digits than its factorization.

3438804642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The square root of 3438804642 is about 58641.3219666815. The cubic root of 3438804642 is about 1509.3935903972.

The spelling of 3438804642 in words is "three billion, four hundred thirty-eight million, eight hundred four thousand, six hundred forty-two".