3667392480 has 96 divisors (see below), whose sum is σ = 11568693024. Its totient is φ = 976582656.

The previous prime is 3667392457. The next prime is 3667392503. The reversal of 3667392480 is 842937663.

It is a Cunningham number, because it is equal to 60559²-1.

It is an interprime number because it is at equal distance from previous prime (3667392457) and next prime (3667392503).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358314 + ... + 368406.

It is an arithmetic number, because the mean of its divisors is an integer number (120507219).

Almost surely, 2^3667392480 is an apocalyptic number.

3667392480 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 3667392480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5784346512).

3667392480 is an abundant number, since it is smaller than the sum of its proper divisors (7901300544).

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

3667392480 is a wasteful number, since it uses less digits than its factorization.

3667392480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10868 (or 10860 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The square root of 3667392480 is about 60558.9999917436. Note that the first 5 decimals coincide. The cubic root of 3667392480 is about 1542.1234102773.

The spelling of 3667392480 in words is "three billion, six hundred sixty-seven million, three hundred ninety-two thousand, four hundred eighty".