3967212480 has 1008 divisors, whose sum is σ = 17468807328. Its totient is φ = 756940800.

The previous prime is 3967212437. The next prime is 3967212511. The reversal of 3967212480 is 842127693.

It is a super-2 number, since 2×3967212480² = 31477549722935500800, which contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 96761260 + ... + 96761300.

It is an arithmetic number, because the mean of its divisors is an integer number (17330166).

Almost surely, 2^3967212480 is an apocalyptic number.

3967212480 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 3967212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8734403664).

3967212480 is an abundant number, since it is smaller than the sum of its proper divisors (13501594848).

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

3967212480 is a wasteful number, since it uses less digits than its factorization.

3967212480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 3967212480 is about 62985.8117356600. The cubic root of 3967212480 is about 1583.0519017678.

The spelling of 3967212480 in words is "three billion, nine hundred sixty-seven million, two hundred twelve thousand, four hundred eighty".