3646073970 has 192 divisors, whose sum is σ = 12441461760. Its totient is φ = 717724800.

The previous prime is 3646073911. The next prime is 3646073971. The reversal of 3646073970 is 793706463.

3646073970 is a `hidden beast` number, since 3 + 6 + 4 + 607 + 39 + 7 + 0 = 666.

3646073970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3646073971) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117825 + ... + 145515.

It is an arithmetic number, because the mean of its divisors is an integer number (64799280).

Almost surely, 2^3646073970 is an apocalyptic number.

3646073970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3646073970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6220730880).

3646073970 is an abundant number, since it is smaller than the sum of its proper divisors (8795387790).

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

3646073970 is a wasteful number, since it uses less digits than its factorization.

3646073970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27741 (or 27738 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The square root of 3646073970 is about 60382.7290704884. The cubic root of 3646073970 is about 1539.1294863737.

The spelling of 3646073970 in words is "three billion, six hundred forty-six million, seventy-three thousand, nine hundred seventy".