3917442690 has 240 divisors, whose sum is σ = 12402185400. Its totient is φ = 884556288.

The previous prime is 3917442677. The next prime is 3917442701. The reversal of 3917442690 is 962447193.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1294056729 + 2623385961 = 35973^2 + 51219^2 .

It is a super-2 number, since 2×3917442690² = 30692714458868872200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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 119 ways as a sum of consecutive naturals, for example, 3531856 + ... + 3532964.

Almost surely, 2^3917442690 is an apocalyptic number.

3917442690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3917442690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6201092700).

3917442690 is an abundant number, since it is smaller than the sum of its proper divisors (8484742710).

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

3917442690 is a wasteful number, since it uses less digits than its factorization.

3917442690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3917442690 is about 62589.4774702585. The cubic root of 3917442690 is about 1576.4040812508.

The spelling of 3917442690 in words is "three billion, nine hundred seventeen million, four hundred forty-two thousand, six hundred ninety".