3973129650 has 192 divisors, whose sum is σ = 12550982400. Its totient is φ = 905333760.

The previous prime is 3973129649. The next prime is 3973129661. The reversal of 3973129650 is 569213793.

3973129650 is digitally balanced in base 2 and base 4, because in such bases 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 a junction number, because it is equal to n+sod(n) for n = 3973129596 and 3973129605.

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, 5603496 + ... + 5604204.

It is an arithmetic number, because the mean of its divisors is an integer number (65369700).

Almost surely, 2^3973129650 is an apocalyptic number.

3973129650 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 3973129650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6275491200).

3973129650 is an abundant number, since it is smaller than the sum of its proper divisors (8577852750).

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

3973129650 is a wasteful number, since it uses less digits than its factorization.

3973129650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 3973129650 is about 63032.7664790306. The cubic root of 3973129650 is about 1583.8385610837.

The spelling of 3973129650 in words is "three billion, nine hundred seventy-three million, one hundred twenty-nine thousand, six hundred fifty".