3612277440 has 336 divisors, whose sum is σ = 12919008960. Its totient is φ = 925655040.

The previous prime is 3612277433. The next prime is 3612277483. The reversal of 3612277440 is 447722163.

3612277440 is a `hidden beast` number, since 361 + 227 + 74 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3612277395 and 3612277404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11614885 + ... + 11615195.

Almost surely, 2^3612277440 is an apocalyptic number.

3612277440 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 3612277440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6459504480).

3612277440 is an abundant number, since it is smaller than the sum of its proper divisors (9306731520).

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

3612277440 is a wasteful number, since it uses less digits than its factorization.

3612277440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 3612277440 is about 60102.2249172192. The cubic root of 3612277440 is about 1534.3591690315.

The spelling of 3612277440 in words is "three billion, six hundred twelve million, two hundred seventy-seven thousand, four hundred forty".