3654074160 has 640 divisors, whose sum is σ = 14639063040. Its totient is φ = 836352000.

The previous prime is 3654074159. The next prime is 3654074227. The reversal of 3654074160 is 614704563.

It is a happy number.

3654074160 is a `hidden beast` number, since 36 + 540 + 74 + 16 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 89123740 + ... + 89123780.

It is an arithmetic number, because the mean of its divisors is an integer number (22873536).

Almost surely, 2^3654074160 is an apocalyptic number.

3654074160 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 3654074160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7319531520).

3654074160 is an abundant number, since it is smaller than the sum of its proper divisors (10984988880).

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

3654074160 is a wasteful number, since it uses less digits than its factorization.

3654074160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3654074160 is about 60448.9384522177. The cubic root of 3654074160 is about 1540.2543797475.

The spelling of 3654074160 in words is "three billion, six hundred fifty-four million, seventy-four thousand, one hundred sixty".