3973150440 has 320 divisors, whose sum is σ = 15367968000. Its totient is φ = 901850112.

The previous prime is 3973150381. The next prime is 3973150471. The reversal of 3973150440 is 440513793.

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

It is a junction number, because it is equal to n+sod(n) for n = 3973150395 and 3973150404.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3787036 + ... + 3788084.

It is an arithmetic number, because the mean of its divisors is an integer number (48024900).

Almost surely, 2^3973150440 is an apocalyptic number.

3973150440 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 3973150440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7683984000).

3973150440 is an abundant number, since it is smaller than the sum of its proper divisors (11394817560).

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

3973150440 is a wasteful number, since it uses less digits than its factorization.

3973150440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3973150440 is about 63032.9313930425. The cubic root of 3973150440 is about 1583.8413236369.

The spelling of 3973150440 in words is "three billion, nine hundred seventy-three million, one hundred fifty thousand, four hundred forty".