3942469440 has 672 divisors, whose sum is σ = 17085868800. Its totient is φ = 829108224.

The previous prime is 3942469403. The next prime is 3942469441. The reversal of 3942469440 is 449642493.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3942469441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12841767 + ... + 12842073.

It is an arithmetic number, because the mean of its divisors is an integer number (25425400).

Almost surely, 2^3942469440 is an apocalyptic number.

3942469440 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 3942469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8542934400).

3942469440 is an abundant number, since it is smaller than the sum of its proper divisors (13143399360).

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

3942469440 is a wasteful number, since it uses less digits than its factorization.

3942469440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 3942469440 is about 62789.0869498833. The cubic root of 3942469440 is about 1579.7539327314.

The spelling of 3942469440 in words is "three billion, nine hundred forty-two million, four hundred sixty-nine thousand, four hundred forty".