3917979450 has 192 divisors, whose sum is σ = 13460567040. Its totient is φ = 814104000.

The previous prime is 3917979421. The next prime is 3917979451. The reversal of 3917979450 is 549797193.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3917979451) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 85105 + ... + 122795.

It is an arithmetic number, because the mean of its divisors is an integer number (70107120).

Almost surely, 2^3917979450 is an apocalyptic number.

3917979450 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 3917979450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6730283520).

3917979450 is an abundant number, since it is smaller than the sum of its proper divisors (9542587590).

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

3917979450 is a wasteful number, since it uses less digits than its factorization.

3917979450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37730 (or 37719 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The square root of 3917979450 is about 62593.7652646012. The cubic root of 3917979450 is about 1576.4760765190.

The spelling of 3917979450 in words is "three billion, nine hundred seventeen million, nine hundred seventy-nine thousand, four hundred fifty".