3753354240 has 352 divisors, whose sum is σ = 14050608000. Its totient is φ = 947552256.

The previous prime is 3753354173. The next prime is 3753354257. The reversal of 3753354240 is 424533573.

3753354240 is a `hidden beast` number, since 3 + 75 + 3 + 3 + 542 + 40 = 666.

3753354240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 3753354195 and 3753354204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2625846 + ... + 2627274.

It is an arithmetic number, because the mean of its divisors is an integer number (39916500).

Almost surely, 2^3753354240 is an apocalyptic number.

3753354240 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 3753354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7025304000).

3753354240 is an abundant number, since it is smaller than the sum of its proper divisors (10297253760).

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

3753354240 is a wasteful number, since it uses less digits than its factorization.

3753354240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 36.

The square root of 3753354240 is about 61264.6247030046. The cubic root of 3753354240 is about 1554.0793328710.

The spelling of 3753354240 in words is "three billion, seven hundred fifty-three million, three hundred fifty-four thousand, two hundred forty".