3735014976 has 336 divisors, whose sum is σ = 13846210560. Its totient is φ = 969822720.

The previous prime is 3735014963. The next prime is 3735014989. The reversal of 3735014976 is 6794105373.

3735014976 is a `hidden beast` number, since 3 + 73 + 501 + 4 + 9 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (3735014963) and next prime (3735014989).

It is a tau number, because it is divible by the number of its divisors (336).

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, 1195945 + ... + 1199063.

It is an arithmetic number, because the mean of its divisors is an integer number (41208960).

Almost surely, 2^3735014976 is an apocalyptic number.

3735014976 is a gapful number since it is divisible by the number (36) 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 3735014976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6923105280).

3735014976 is an abundant number, since it is smaller than the sum of its proper divisors (10111195584).

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

3735014976 is a wasteful number, since it uses less digits than its factorization.

3735014976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3164 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 3735014976 is about 61114.7688860884. The cubic root of 3735014976 is about 1551.5440702058.

It can be divided in two parts, 37350 and 14976, that added together give a triangular number (52326 = T₃₂₃).

The spelling of 3735014976 in words is "three billion, seven hundred thirty-five million, fourteen thousand, nine hundred seventy-six".