3929342400 has 210 divisors, whose sum is σ = 14443750640. Its totient is φ = 1047790080.

The previous prime is 3929342399. The next prime is 3929342401. The reversal of 3929342400 is 42439293.

It is an interprime number because it is at equal distance from previous prime (3929342399) and next prime (3929342401).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3929342401) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 114441 + ... + 144759.

Almost surely, 2^3929342400 is an apocalyptic number.

3929342400 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 3929342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7221875320).

3929342400 is an abundant number, since it is smaller than the sum of its proper divisors (10514408240).

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

3929342400 is a wasteful number, since it uses less digits than its factorization.

3929342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30353 (or 30329 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3929342400 is about 62684.4669754797. The cubic root of 3929342400 is about 1577.9986410085.

The spelling of 3929342400 in words is "three billion, nine hundred twenty-nine million, three hundred forty-two thousand, four hundred".