3967461204 has 72 divisors (see below), whose sum is σ = 10853821440. Its totient is φ = 1124613504.

The previous prime is 3967461191. The next prime is 3967461217. The reversal of 3967461204 is 4021647693.

It is an interprime number because it is at equal distance from previous prime (3967461191) and next prime (3967461217).

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48112 + ... + 101240.

It is an arithmetic number, because the mean of its divisors is an integer number (150747520).

Almost surely, 2^3967461204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3967461204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5426910720).

3967461204 is an abundant number, since it is smaller than the sum of its proper divisors (6886360236).

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

3967461204 is a wasteful number, since it uses less digits than its factorization.

3967461204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53277 (or 53268 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 3967461204 is about 62987.7861493798. The cubic root of 3967461204 is about 1583.0849841714.

The spelling of 3967461204 in words is "three billion, nine hundred sixty-seven million, four hundred sixty-one thousand, two hundred four".