3754162440 has 192 divisors, whose sum is σ = 14229072000. Its totient is φ = 858066048.

The previous prime is 3754162439. The next prime is 3754162463. The reversal of 3754162440 is 442614573.

3754162440 is a `hidden beast` number, since 3 + 7 + 54 + 162 + 440 = 666.

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 = 3754162395 and 3754162404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108279 + ... + 138681.

It is an arithmetic number, because the mean of its divisors is an integer number (74109750).

Almost surely, 2^3754162440 is an apocalyptic number.

3754162440 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 3754162440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7114536000).

3754162440 is an abundant number, since it is smaller than the sum of its proper divisors (10474909560).

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

3754162440 is a wasteful number, since it uses less digits than its factorization.

3754162440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30441 (or 30420 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3754162440 is about 61271.2203240641. The cubic root of 3754162440 is about 1554.1908701517.

The spelling of 3754162440 in words is "three billion, seven hundred fifty-four million, one hundred sixty-two thousand, four hundred forty".