3807342000 has 960 divisors, whose sum is σ = 17236896768. Its totient is φ = 760320000.

The previous prime is 3807341957. The next prime is 3807342013. The reversal of 3807342000 is 2437083.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 56825967 + ... + 56826033.

Almost surely, 2^3807342000 is an apocalyptic number.

3807342000 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 3807342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8618448384).

3807342000 is an abundant number, since it is smaller than the sum of its proper divisors (13429554768).

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

3807342000 is a wasteful number, since it uses less digits than its factorization.

3807342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3807342000 is about 61703.6627762080. The cubic root of 3807342000 is about 1561.4951149371.

Adding to 3807342000 its reverse (2437083), we get a palindrome (3809779083).

The spelling of 3807342000 in words is "three billion, eight hundred seven million, three hundred forty-two thousand".