3670894080 has 560 divisors, whose sum is σ = 15135129504. Its totient is φ = 836075520.

The previous prime is 3670894067. The next prime is 3670894091. The reversal of 3670894080 is 804980763.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13063540 + ... + 13063820.

Almost surely, 2^3670894080 is an apocalyptic number.

3670894080 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 3670894080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7567564752).

3670894080 is an abundant number, since it is smaller than the sum of its proper divisors (11464235424).

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

3670894080 is an frugal number, since it uses more digits than its factorization.

3670894080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3670894080 is about 60587.9037432390. The cubic root of 3670894080 is about 1542.6140569405.

The spelling of 3670894080 in words is "three billion, six hundred seventy million, eight hundred ninety-four thousand, eighty".