3946890240 has 440 divisors, whose sum is σ = 14647218432. Its totient is φ = 1015234560.

The previous prime is 3946890239. The next prime is 3946890253. The reversal of 3946890240 is 420986493.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12856167 + ... + 12856473.

Almost surely, 2^3946890240 is an apocalyptic number.

3946890240 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 3946890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7323609216).

3946890240 is an abundant number, since it is smaller than the sum of its proper divisors (10700328192).

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

3946890240 is a wasteful number, since it uses less digits than its factorization.

3946890240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3946890240 is about 62824.2806564468. The cubic root of 3946890240 is about 1580.3441860866.

The spelling of 3946890240 in words is "three billion, nine hundred forty-six million, eight hundred ninety thousand, two hundred forty".