3967330290 has 128 divisors (see below), whose sum is σ = 12569499648. Its totient is φ = 775879680.

The previous prime is 3967330247. The next prime is 3967330319. The reversal of 3967330290 is 920337693.

It is a super-3 number, since 3×3967330290³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 11244 + ... + 89783.

It is an arithmetic number, because the mean of its divisors is an integer number (98199216).

Almost surely, 2^3967330290 is an apocalyptic number.

3967330290 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 3967330290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6284749824).

3967330290 is an abundant number, since it is smaller than the sum of its proper divisors (8602169358).

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

3967330290 is a wasteful number, since it uses less digits than its factorization.

3967330290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101072.

The product of its (nonzero) digits is 183708, while the sum is 42.

The square root of 3967330290 is about 62986.7469393364. The cubic root of 3967330290 is about 1583.0675716703.

The spelling of 3967330290 in words is "three billion, nine hundred sixty-seven million, three hundred thirty thousand, two hundred ninety".