3378584142 has 64 divisors (see below), whose sum is σ = 8037216000. Its totient is φ = 1048819104.

The previous prime is 3378584137. The next prime is 3378584147. The reversal of 3378584142 is 2414858733.

It is an interprime number because it is at equal distance from previous prime (3378584137) and next prime (3378584147).

It is a super-2 number, since 2×3378584142² = 22829661609147752328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3378584147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32628 + ... + 88440.

It is an arithmetic number, because the mean of its divisors is an integer number (125581500).

Almost surely, 2^3378584142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3378584142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4018608000).

3378584142 is an abundant number, since it is smaller than the sum of its proper divisors (4658631858).

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

3378584142 is a wasteful number, since it uses less digits than its factorization.

3378584142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55902 (or 55896 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 3378584142 is about 58125.5893905602. The cubic root of 3378584142 is about 1500.5307961481.

The spelling of 3378584142 in words is "three billion, three hundred seventy-eight million, five hundred eighty-four thousand, one hundred forty-two".