3646797840 has 480 divisors, whose sum is σ = 15309305856. Its totient is φ = 758661120.

The previous prime is 3646797839. The next prime is 3646797877. The reversal of 3646797840 is 487976463.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2655394 + ... + 2656766.

Almost surely, 2^3646797840 is an apocalyptic number.

3646797840 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 3646797840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7654652928).

3646797840 is an abundant number, since it is smaller than the sum of its proper divisors (11662508016).

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

3646797840 is a wasteful number, since it uses less digits than its factorization.

3646797840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The square root of 3646797840 is about 60388.7227882823. The cubic root of 3646797840 is about 1539.2313361942.

The spelling of 3646797840 in words is "three billion, six hundred forty-six million, seven hundred ninety-seven thousand, eight hundred forty".